117058580061696 has 2560 divisors, whose sum is σ = 462263746560000. Its totient is φ = 28980551319552.

The previous prime is 117058580061691. The next prime is 117058580061713. The reversal of 117058580061696 is 696160085850711.

117058580061696 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 5 + 8 + 5 + 8 + 0 + 0 + 616 + 9 + 6 = 666.

It is a super-2 number, since 2×117058580061696² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117058580061691) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 148740253815 + ... + 148740254601.

It is an arithmetic number, because the mean of its divisors is an integer number (180571776000).

Almost surely, 2^{117058580061696} is an apocalyptic number.

117058580061696 is a gapful number since it is divisible by the number (16) 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 117058580061696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231131873280000).

117058580061696 is an abundant number, since it is smaller than the sum of its proper divisors (345205166498304).

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

117058580061696 is a wasteful number, since it uses less digits than its factorization.

117058580061696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 117058580061696 in words is "one hundred seventeen trillion, fifty-eight billion, five hundred eighty million, sixty-one thousand, six hundred ninety-six".