55586746560 has 224 divisors, whose sum is σ = 186141116160. Its totient is φ = 14015434752.

The previous prime is 55586746559. The next prime is 55586746703. The reversal of 55586746560 is 6564768555.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 55586746560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10266414 + ... + 10271826.

Almost surely, 2^55586746560 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 55586746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93070558080).

55586746560 is an abundant number, since it is smaller than the sum of its proper divisors (130554369600).

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

55586746560 is a wasteful number, since it uses less digits than its factorization.

55586746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6015 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 57.

The spelling of 55586746560 in words is "fifty-five billion, five hundred eighty-six million, seven hundred forty-six thousand, five hundred sixty".