55608609672 has 512 divisors, whose sum is σ = 199272960000. Its totient is φ = 13951180800.

The previous prime is 55608609659. The next prime is 55608609701. The reversal of 55608609672 is 27690680655.

It is a happy number.

55608609672 is a `hidden beast` number, since 5 + 560 + 8 + 6 + 0 + 9 + 6 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59858104 + ... + 59859032.

It is an arithmetic number, because the mean of its divisors is an integer number (389205000).

Almost surely, 2^55608609672 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 55608609672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99636480000).

55608609672 is an abundant number, since it is smaller than the sum of its proper divisors (143664350328).

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

55608609672 is a wasteful number, since it uses less digits than its factorization.

55608609672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 55608609672 in words is "fifty-five billion, six hundred eight million, six hundred nine thousand, six hundred seventy-two".