61313888160 has 432 divisors, whose sum is σ = 251254628352. Its totient is φ = 13562035200.

The previous prime is 61313888159. The next prime is 61313888171. The reversal of 61313888160 is 6188831316.

61313888160 is a `hidden beast` number, since 6 + 131 + 388 + 81 + 60 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 2173345 + ... + 2201375.

It is an arithmetic number, because the mean of its divisors is an integer number (581607936).

Almost surely, 2^61313888160 is an apocalyptic number.

61313888160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61313888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125627314176).

61313888160 is an abundant number, since it is smaller than the sum of its proper divisors (189940740192).

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

61313888160 is a wasteful number, since it uses less digits than its factorization.

61313888160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28097 (or 28079 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 61313888160 in words is "sixty-one billion, three hundred thirteen million, eight hundred eighty-eight thousand, one hundred sixty".