56100293280 has 192 divisors, whose sum is σ = 202685414400. Its totient is φ = 14477460480.

The previous prime is 56100293261. The next prime is 56100293287. The reversal of 56100293280 is 8239200165.

56100293280 is a `hidden beast` number, since 5 + 610 + 0 + 2 + 9 + 32 + 8 + 0 = 666.

It is a super-2 number, since 2×56100293280² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56100293287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75535 + ... + 343374.

It is an arithmetic number, because the mean of its divisors is an integer number (1055653200).

Almost surely, 2^56100293280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56100293280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101342707200).

56100293280 is an abundant number, since it is smaller than the sum of its proper divisors (146585121120).

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

56100293280 is a wasteful number, since it uses less digits than its factorization.

56100293280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418964 (or 418950 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 56100293280 in words is "fifty-six billion, one hundred million, two hundred ninety-three thousand, two hundred eighty".