55945762992 has 400 divisors, whose sum is σ = 191920605184. Its totient is φ = 15396480000.

The previous prime is 55945762991. The next prime is 55945762993. The reversal of 55945762992 is 29926754955.

55945762992 is a `hidden beast` number, since 5 + 59 + 4 + 576 + 2 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (55945762991) and next prime (55945762993).

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

It is not an unprimeable number, because it can be changed into a prime (55945762991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93087492 + ... + 93088092.

Almost surely, 2^55945762992 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 55945762992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95960302592).

55945762992 is an abundant number, since it is smaller than the sum of its proper divisors (135974842192).

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

55945762992 is a wasteful number, since it uses less digits than its factorization.

55945762992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 975 counting only the distinct ones).

The product of its digits is 61236000, while the sum is 63.

The spelling of 55945762992 in words is "fifty-five billion, nine hundred forty-five million, seven hundred sixty-two thousand, nine hundred ninety-two".