56364123524100 has 288 divisors, whose sum is σ = 191500061878272. Its totient is φ = 12531024000000.

The previous prime is 56364123524099. The next prime is 56364123524101. The reversal of 56364123524100 is 142532146365.

It is an interprime number because it is at equal distance from previous prime (56364123524099) and next prime (56364123524101).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (56364123524101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27510225 + ... + 29487975.

Almost surely, 2^{56364123524100} is an apocalyptic number.

56364123524100 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 56364123524100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95750030939136).

56364123524100 is an abundant number, since it is smaller than the sum of its proper divisors (135135938354172).

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

56364123524100 is a wasteful number, since it uses less digits than its factorization.

56364123524100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978147 (or 1978140 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 56364123524100 in words is "fifty-six trillion, three hundred sixty-four billion, one hundred twenty-three million, five hundred twenty-four thousand, one hundred".