55785400 has 48 divisors (see below), whose sum is σ = 141497640. Its totient is φ = 20284800.

The previous prime is 55785383. The next prime is 55785403. The reversal of 55785400 is 458755.

It is a super-2 number, since 2×55785400² = 6224021706320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55785403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10479 + ... + 14878.

Almost surely, 2^55785400 is an apocalyptic number.

55785400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55785400 is an abundant number, since it is smaller than the sum of its proper divisors (85712240).

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

55785400 is a wasteful number, since it uses less digits than its factorization.

55785400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25384 (or 25375 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The square root of 55785400 is about 7468.9624446773. The cubic root of 55785400 is about 382.0969025840.

The spelling of 55785400 in words is "fifty-five million, seven hundred eighty-five thousand, four hundred".