70116838590960 has 480 divisors, whose sum is σ = 283362902184960. Its totient is φ = 15178701238272.

The previous prime is 70116838590943. The next prime is 70116838590973. The reversal of 70116838590960 is 6909583861107.

70116838590960 is a `hidden beast` number, since 7 + 0 + 1 + 1 + 6 + 8 + 38 + 590 + 9 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 328637437 + ... + 328850723.

It is an arithmetic number, because the mean of its divisors is an integer number (590339379552).

Almost surely, 2^{70116838590960} is an apocalyptic number.

70116838590960 is a gapful number since it is divisible by the number (70) 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 70116838590960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141681451092480).

70116838590960 is an abundant number, since it is smaller than the sum of its proper divisors (213246063594000).

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

70116838590960 is a wasteful number, since it uses less digits than its factorization.

70116838590960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216765 (or 216756 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 70116838590960 in words is "seventy trillion, one hundred sixteen billion, eight hundred thirty-eight million, five hundred ninety thousand, nine hundred sixty".