61586816881600 has 84 divisors (see below), whose sum is σ = 151555287565984. Its totient is φ = 24632576686080.

The previous prime is 61586816881549. The next prime is 61586816881627. The reversal of 61586816881600 is 618861868516.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16721209 + ... + 20069191.

Almost surely, 2^{61586816881600} is an apocalyptic number.

It is an amenable number.

61586816881600 is an abundant number, since it is smaller than the sum of its proper divisors (89968470684384).

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

61586816881600 is a wasteful number, since it uses less digits than its factorization.

61586816881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359502 (or 3359487 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 64.

The spelling of 61586816881600 in words is "sixty-one trillion, five hundred eighty-six billion, eight hundred sixteen million, eight hundred eighty-one thousand, six hundred".