55562664960 has 704 divisors, whose sum is σ = 219307392000. Its totient is φ = 13226803200.

The previous prime is 55562664931. The next prime is 55562664977. The reversal of 55562664960 is 6946626555.

It is a happy number.

55562664960 is a `hidden beast` number, since 5 + 5 + 5 + 626 + 6 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55562664897 and 55562664906.

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 63 ways as a sum of consecutive naturals, for example, 92758741 + ... + 92759339.

Almost surely, 2^55562664960 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 55562664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109653696000).

55562664960 is an abundant number, since it is smaller than the sum of its proper divisors (163744727040).

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

55562664960 is a wasteful number, since it uses less digits than its factorization.

55562664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 55562664960 in words is "fifty-five billion, five hundred sixty-two million, six hundred sixty-four thousand, nine hundred sixty".