56077249536 has 1056 divisors, whose sum is σ = 217751016960. Its totient is φ = 14089420800.

The previous prime is 56077249519. The next prime is 56077249541. The reversal of 56077249536 is 63594277065.

56077249536 is a `hidden beast` number, since 5 + 60 + 7 + 7 + 2 + 49 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 789820381 + ... + 789820451.

Almost surely, 2^56077249536 is an apocalyptic number.

56077249536 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 56077249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108875508480).

56077249536 is an abundant number, since it is smaller than the sum of its proper divisors (161673767424).

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

56077249536 is a wasteful number, since it uses less digits than its factorization.

56077249536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 56077249536 in words is "fifty-six billion, seventy-seven million, two hundred forty-nine thousand, five hundred thirty-six".