61314721200 has 120 divisors (see below), whose sum is σ = 218235027600. Its totient is φ = 16350589440.

The previous prime is 61314721177. The next prime is 61314721201. The reversal of 61314721200 is 212741316.

61314721200 is a `hidden beast` number, since 613 + 1 + 4 + 7 + 21 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61314721201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2827845 + ... + 2849444.

It is an arithmetic number, because the mean of its divisors is an integer number (1818625230).

Almost surely, 2^61314721200 is an apocalyptic number.

61314721200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61314721200 is an abundant number, since it is smaller than the sum of its proper divisors (156920306400).

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

61314721200 is a wasteful number, since it uses less digits than its factorization.

61314721200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677316 (or 5677299 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 61314721200 in words is "sixty-one billion, three hundred fourteen million, seven hundred twenty-one thousand, two hundred".