56012602464 has 960 divisors, whose sum is σ = 215030753280. Its totient is φ = 14082647040.

The previous prime is 56012602463. The next prime is 56012602501. The reversal of 56012602464 is 46420621065.

56012602464 is a `hidden beast` number, since 5 + 6 + 0 + 1 + 2 + 602 + 46 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56012602463) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 836008959 + ... + 836009025.

It is an arithmetic number, because the mean of its divisors is an integer number (223990368).

Almost surely, 2^56012602464 is an apocalyptic number.

56012602464 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 56012602464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107515376640).

56012602464 is an abundant number, since it is smaller than the sum of its proper divisors (159018150816).

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

56012602464 is a wasteful number, since it uses less digits than its factorization.

56012602464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 56012602464 in words is "fifty-six billion, twelve million, six hundred two thousand, four hundred sixty-four".