55910400 has 336 divisors, whose sum is σ = 227527104. Its totient is φ = 11796480.

The previous prime is 55910383. The next prime is 55910411. The reversal of 55910400 is 401955.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4300794 + ... + 4300806.

It is an arithmetic number, because the mean of its divisors is an integer number (677164).

Almost surely, 2^55910400 is an apocalyptic number.

55910400 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 55910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113763552).

55910400 is an abundant number, since it is smaller than the sum of its proper divisors (171616704).

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

55910400 is a wasteful number, since it uses less digits than its factorization.

55910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 55910400 is about 7477.3257251507. The cubic root of 55910400 is about 382.3820816403.

The spelling of 55910400 in words is "fifty-five million, nine hundred ten thousand, four hundred".