55753488 has 160 divisors (see below), whose sum is σ = 185702400. Its totient is φ = 15686784.

The previous prime is 55753483. The next prime is 55753493. The reversal of 55753488 is 88435755.

55753488 is a `hidden beast` number, since 557 + 53 + 48 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (55753483) and next prime (55753493).

It is a super-2 number, since 2×55753488² = 6216902848332288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (55753483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311383 + ... + 311561.

It is an arithmetic number, because the mean of its divisors is an integer number (1160640).

Almost surely, 2^55753488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55753488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92851200).

55753488 is an abundant number, since it is smaller than the sum of its proper divisors (129948912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55753488 is a wasteful number, since it uses less digits than its factorization.

55753488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 55753488 is about 7466.8258316369. The cubic root of 55753488 is about 382.0240292624.

It can be divided in two parts, 557 and 53488, that added together give a palindrome (54045).

The spelling of 55753488 in words is "fifty-five million, seven hundred fifty-three thousand, four hundred eighty-eight".