56136278016 has 448 divisors, whose sum is σ = 204774393600. Its totient is φ = 14799863808.

The previous prime is 56136277969. The next prime is 56136278053. The reversal of 56136278016 is 61087263165.

56136278016 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 627 + 8 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20126350 + ... + 20129138.

It is an arithmetic number, because the mean of its divisors is an integer number (457085700).

Almost surely, 2^56136278016 is an apocalyptic number.

56136278016 is a gapful number since it is divisible by the number (56) 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 56136278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102387196800).

56136278016 is an abundant number, since it is smaller than the sum of its proper divisors (148638115584).

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

56136278016 is a wasteful number, since it uses less digits than its factorization.

56136278016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 56136278016 in words is "fifty-six billion, one hundred thirty-six million, two hundred seventy-eight thousand, sixteen".