55356400 has 120 divisors (see below), whose sum is σ = 151668864. Its totient is φ = 19219200.

The previous prime is 55356397. The next prime is 55356407. The reversal of 55356400 is 465355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55356407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100927 + ... + 101473.

Almost surely, 2^55356400 is an apocalyptic number.

55356400 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 55356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75834432).

55356400 is an abundant number, since it is smaller than the sum of its proper divisors (96312464).

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

55356400 is a wasteful number, since it uses less digits than its factorization.

55356400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 55356400 is about 7440.1881696635. The cubic root of 55356400 is about 381.1149158622.

It can be divided in two parts, 5535 and 6400, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 55356400 in words is "fifty-five million, three hundred fifty-six thousand, four hundred".