56649249360 has 480 divisors, whose sum is σ = 220774619520. Its totient is φ = 12872908800.

The previous prime is 56649249353. The next prime is 56649249361. The reversal of 56649249360 is 6394294665.

56649249360 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 92 + 493 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56649249297 and 56649249306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56649249361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14594620 + ... + 14598500.

It is an arithmetic number, because the mean of its divisors is an integer number (459947124).

Almost surely, 2^56649249360 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 56649249360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110387309760).

56649249360 is an abundant number, since it is smaller than the sum of its proper divisors (164125370160).

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

56649249360 is a wasteful number, since it uses less digits than its factorization.

56649249360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 56649249360 in words is "fifty-six billion, six hundred forty-nine million, two hundred forty-nine thousand, three hundred sixty".