55772668864 has 112 divisors (see below), whose sum is σ = 121582135296. Its totient is φ = 25174195200.

The previous prime is 55772668843. The next prime is 55772668883. The reversal of 55772668864 is 46886627755.

It is a happy number.

It is a super-2 number, since 2×55772668864² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 55772668796 and 55772668805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120459097 + ... + 120459559.

Almost surely, 2^55772668864 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 55772668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60791067648).

55772668864 is an abundant number, since it is smaller than the sum of its proper divisors (65809466432).

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

55772668864 is a wasteful number, since it uses less digits than its factorization.

55772668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1304 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 64.

The spelling of 55772668864 in words is "fifty-five billion, seven hundred seventy-two million, six hundred sixty-eight thousand, eight hundred sixty-four".