61147766160 has 160 divisors (see below), whose sum is σ = 226821732480. Its totient is φ = 15051750912.

The previous prime is 61147766143. The next prime is 61147766179. The reversal of 61147766160 is 6166774116.

61147766160 is a `hidden beast` number, since 6 + 11 + 477 + 6 + 6 + 160 = 666.

61147766160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61147766160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1060734 + ... + 1116893.

It is an arithmetic number, because the mean of its divisors is an integer number (1417635828).

Almost surely, 2^61147766160 is an apocalyptic number.

61147766160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61147766160 is an abundant number, since it is smaller than the sum of its proper divisors (165673966320).

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

61147766160 is a wasteful number, since it uses less digits than its factorization.

61147766160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177662 (or 2177650 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 61147766160 in words is "sixty-one billion, one hundred forty-seven million, seven hundred sixty-six thousand, one hundred sixty".