655958545859556 has 72 divisors (see below), whose sum is σ = 1772698937353344. Its totient is φ = 203792946266880.

The previous prime is 655958545859549. The next prime is 655958545859597.

655958545859556 is a `hidden beast` number, since 6 + 5 + 5 + 9 + 5 + 8 + 5 + 4 + 5 + 8 + 595 + 5 + 6 = 666.

655958545859556 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×655958545859556³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5202984000 + ... + 5203110071.

It is an arithmetic number, because the mean of its divisors is an integer number (24620818574352).

Almost surely, 2^{655958545859556} is an apocalyptic number.

It is an amenable number.

655958545859556 is an abundant number, since it is smaller than the sum of its proper divisors (1116740391493788).

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

655958545859556 is a wasteful number, since it uses less digits than its factorization.

655958545859556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10406094201 (or 10406094196 counting only the distinct ones).

The product of its digits is 291600000000, while the sum is 90.

The spelling of 655958545859556 in words is "six hundred fifty-five trillion, nine hundred fifty-eight billion, five hundred forty-five million, eight hundred fifty-nine thousand, five hundred fifty-six".