61261200606864 has 160 divisors (see below), whose sum is σ = 165538554568704. Its totient is φ = 19485334471680.

The previous prime is 61261200606857. The next prime is 61261200606901. The reversal of 61261200606864 is 46860600216216.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 885204487 + ... + 885273689.

Almost surely, 2^{61261200606864} 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 61261200606864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82769277284352).

61261200606864 is an abundant number, since it is smaller than the sum of its proper divisors (104277353961840).

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

61261200606864 is a wasteful number, since it uses less digits than its factorization.

61261200606864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71165 (or 71159 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 61261200606864 in words is "sixty-one trillion, two hundred sixty-one billion, two hundred million, six hundred six thousand, eight hundred sixty-four".