55820712960 has 528 divisors, whose sum is σ = 208459929600. Its totient is φ = 13770915840.

The previous prime is 55820712943. The next prime is 55820712977. The reversal of 55820712960 is 6921702855.

55820712960 is a `hidden beast` number, since 5 + 582 + 0 + 7 + 1 + 2 + 9 + 60 = 666.

55820712960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55820712943) and next prime (55820712977).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32854191 + ... + 32855889.

Almost surely, 2^55820712960 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 55820712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104229964800).

55820712960 is an abundant number, since it is smaller than the sum of its proper divisors (152639216640).

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

55820712960 is a wasteful number, since it uses less digits than its factorization.

55820712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 55820712960 in words is "fifty-five billion, eight hundred twenty million, seven hundred twelve thousand, nine hundred sixty".