56118940970400 has 4608 divisors, whose sum is σ = 270462689280000. Its totient is φ = 11119804416000.

The previous prime is 56118940970387. The next prime is 56118940970401. The reversal of 56118940970400 is 407904981165.

56118940970400 is a `hidden beast` number, since 5 + 61 + 1 + 8 + 94 + 0 + 97 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56118940970401) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 245060877486 + ... + 245060877714.

It is an arithmetic number, because the mean of its divisors is an integer number (58694160000).

Almost surely, 2^{56118940970400} is an apocalyptic number.

56118940970400 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 56118940970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135231344640000).

56118940970400 is an abundant number, since it is smaller than the sum of its proper divisors (214343748309600).

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

56118940970400 is a wasteful number, since it uses less digits than its factorization.

56118940970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 56118940970400 in words is "fifty-six trillion, one hundred eighteen billion, nine hundred forty million, nine hundred seventy thousand, four hundred".