55291600 has 240 divisors, whose sum is σ = 172211200. Its totient is φ = 16934400.

The previous prime is 55291597. The next prime is 55291601. The reversal of 55291600 is 619255.

It is a super-2 number, since 2×55291600² = 6114322061120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55291601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1783585 + ... + 1783615.

Almost surely, 2^55291600 is an apocalyptic number.

55291600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55291600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86105600).

55291600 is an abundant number, since it is smaller than the sum of its proper divisors (116919600).

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

55291600 is a wasteful number, since it uses less digits than its factorization.

55291600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 55291600 is about 7435.8321659381. The cubic root of 55291600 is about 380.9661472208.

The spelling of 55291600 in words is "fifty-five million, two hundred ninety-one thousand, six hundred".