56213234064 has 200 divisors, whose sum is σ = 176270592960. Its totient is φ = 17191948032.

The previous prime is 56213234057. The next prime is 56213234071. The reversal of 56213234064 is 46043231265.

56213234064 is a `hidden beast` number, since 5 + 621 + 3 + 23 + 4 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (56213234057) and next prime (56213234071).

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 39 ways as a sum of consecutive naturals, for example, 2803627 + ... + 2823605.

Almost surely, 2^56213234064 is an apocalyptic number.

56213234064 is a gapful number since it is divisible by the number (54) 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 56213234064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88135296480).

56213234064 is an abundant number, since it is smaller than the sum of its proper divisors (120057358896).

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

56213234064 is a wasteful number, since it uses less digits than its factorization.

56213234064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20179 (or 20164 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 56213234064 in words is "fifty-six billion, two hundred thirteen million, two hundred thirty-four thousand, sixty-four".