70916160000 has 800 divisors, whose sum is σ = 275814811008. Its totient is φ = 15851520000.

The previous prime is 70916159971. The next prime is 70916160011. The reversal of 70916160000 is 6161907.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 70916160000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 409919914 + ... + 409920086.

Almost surely, 2^70916160000 is an apocalyptic number.

70916160000 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 70916160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137907405504).

70916160000 is an abundant number, since it is smaller than the sum of its proper divisors (204898651008).

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

70916160000 is an equidigital number, since it uses as much as digits as its factorization.

70916160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The spelling of 70916160000 in words is "seventy billion, nine hundred sixteen million, one hundred sixty thousand".