55956676608 has 420 divisors, whose sum is σ = 194574894822. Its totient is φ = 15978332160.

The previous prime is 55956676583. The next prime is 55956676619. The reversal of 55956676608 is 80667665955.

55956676608 is a `hidden beast` number, since 5 + 5 + 9 + 566 + 7 + 6 + 60 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42284519424 + 13672157184 = 205632^2 + 116928^2 .

It is a super-2 number, since 2×55956676608² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32513188 + ... + 32514908.

Almost surely, 2^55956676608 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 55956676608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97287447411).

55956676608 is an abundant number, since it is smaller than the sum of its proper divisors (138618218214).

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

55956676608 is an equidigital number, since it uses as much as digits as its factorization.

55956676608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 55956676608 in words is "fifty-five billion, nine hundred fifty-six million, six hundred seventy-six thousand, six hundred eight".