55917302400 has 384 divisors, whose sum is σ = 205398460800. Its totient is φ = 14856192000.

The previous prime is 55917302381. The next prime is 55917302443. The reversal of 55917302400 is 420371955.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26869360 + ... + 26871440.

It is an arithmetic number, because the mean of its divisors is an integer number (534891825).

Almost surely, 2^55917302400 is an apocalyptic number.

55917302400 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 55917302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102699230400).

55917302400 is an abundant number, since it is smaller than the sum of its proper divisors (149481158400).

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

55917302400 is a wasteful number, since it uses less digits than its factorization.

55917302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 55917302400 in words is "fifty-five billion, nine hundred seventeen million, three hundred two thousand, four hundred".