55657766976 has 448 divisors, whose sum is σ = 185677332480. Its totient is φ = 14362951680.

The previous prime is 55657766971. The next prime is 55657767013. The reversal of 55657766976 is 67966775655.

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

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 55657766976.

It is not an unprimeable number, because it can be changed into a prime (55657766971) 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, 42132396 + ... + 42133716.

Almost surely, 2^55657766976 is an apocalyptic number.

55657766976 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 55657766976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92838666240).

55657766976 is an abundant number, since it is smaller than the sum of its proper divisors (130019565504).

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

55657766976 is a wasteful number, since it uses less digits than its factorization.

55657766976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1432 counting only the distinct ones).

The product of its digits is 500094000, while the sum is 69.

The spelling of 55657766976 in words is "fifty-five billion, six hundred fifty-seven million, seven hundred sixty-six thousand, nine hundred seventy-six".