61576396560 has 160 divisors (see below), whose sum is σ = 242396033280. Its totient is φ = 14074601472.

The previous prime is 61576396543. The next prime is 61576396621. The reversal of 61576396560 is 6569367516.

61576396560 is a `hidden beast` number, since 6 + 1 + 5 + 76 + 3 + 9 + 6 + 560 = 666.

It is a super-2 number, since 2×61576396560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 61576396497 and 61576396506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2021137 + ... + 2051376.

It is an arithmetic number, because the mean of its divisors is an integer number (1514975208).

Almost surely, 2^61576396560 is an apocalyptic number.

61576396560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61576396560 is an abundant number, since it is smaller than the sum of its proper divisors (180819636720).

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

61576396560 is a wasteful number, since it uses less digits than its factorization.

61576396560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072542 (or 4072530 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 61576396560 in words is "sixty-one billion, five hundred seventy-six million, three hundred ninety-six thousand, five hundred sixty".