56949854976 has 576 divisors, whose sum is σ = 203528765440. Its totient is φ = 15362887680.

The previous prime is 56949854971. The next prime is 56949854981. The reversal of 56949854976 is 67945894965.

56949854976 is a `hidden beast` number, since 5 + 6 + 9 + 4 + 9 + 8 + 549 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (56949854971) and next prime (56949854981).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (56949854971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64495431 + ... + 64496313.

Almost surely, 2^56949854976 is an apocalyptic number.

56949854976 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 56949854976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101764382720).

56949854976 is an abundant number, since it is smaller than the sum of its proper divisors (146578910464).

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

56949854976 is a wasteful number, since it uses less digits than its factorization.

56949854976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 969 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

It can be divided in two parts, 56949 and 854976, that added together give a triangular number (911925 = T₁₃₅₀).

The spelling of 56949854976 in words is "fifty-six billion, nine hundred forty-nine million, eight hundred fifty-four thousand, nine hundred seventy-six".