61991237468160 has 6720 divisors, whose sum is σ = 322308349945344. Its totient is φ = 11007531417600.

The previous prime is 61991237468159. The next prime is 61991237468189. The reversal of 61991237468160 is 6186473219916.

61991237468160 is a `hidden beast` number, since 6 + 1 + 9 + 9 + 1 + 2 + 3 + 7 + 468 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1016249794530 + ... + 1016249794590.

Almost surely, 2^{61991237468160} is an apocalyptic number.

61991237468160 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 61991237468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161154174972672).

61991237468160 is an abundant number, since it is smaller than the sum of its proper divisors (260317112477184).

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

61991237468160 is a wasteful number, since it uses less digits than its factorization.

61991237468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 61991237468160 in words is "sixty-one trillion, nine hundred ninety-one billion, two hundred thirty-seven million, four hundred sixty-eight thousand, one hundred sixty".