61961161200 has 60 divisors (see below), whose sum is σ = 198482256888. Its totient is φ = 16522976000.

The previous prime is 61961161187. The next prime is 61961161219. The reversal of 61961161200 is 216116916.

61961161200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 25815951 + ... + 25818350.

Almost surely, 2^61961161200 is an apocalyptic number.

61961161200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61961161200 is an abundant number, since it is smaller than the sum of its proper divisors (136521095688).

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

61961161200 is a wasteful number, since it uses less digits than its factorization.

61961161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51634322 (or 51634311 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 61961161200 in words is "sixty-one billion, nine hundred sixty-one million, one hundred sixty-one thousand, two hundred".