55656400 has 60 divisors (see below), whose sum is σ = 135966124. Its totient is φ = 21888000.

The previous prime is 55656383. The next prime is 55656401. The reversal of 55656400 is 465655.

It can be written as a sum of positive squares in 6 ways, for example, as 8156736 + 47499664 = 2856^2 + 6892^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55656401) 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, 23260 + ... + 25540.

Almost surely, 2^55656400 is an apocalyptic number.

55656400 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 55656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67983062).

55656400 is an abundant number, since it is smaller than the sum of its proper divisors (80309724).

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

55656400 is a wasteful number, since it uses less digits than its factorization.

55656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 55656400 is about 7460.3217088809. The cubic root of 55656400 is about 381.8021507734.

The spelling of 55656400 in words is "fifty-five million, six hundred fifty-six thousand, four hundred".