70856164163400 has 1152 divisors, whose sum is σ = 287899616995200. Its totient is φ = 14247423590400.

The previous prime is 70856164163383. The next prime is 70856164163413. The reversal of 70856164163400 is 436146165807.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1251206286 + ... + 1251262914.

It is an arithmetic number, because the mean of its divisors is an integer number (249912861975).

Almost surely, 2^{70856164163400} is an apocalyptic number.

70856164163400 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 70856164163400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143949808497600).

70856164163400 is an abundant number, since it is smaller than the sum of its proper divisors (217043452831800).

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

70856164163400 is a wasteful number, since it uses less digits than its factorization.

70856164163400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56799 (or 56783 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 70856164163400 in words is "seventy trillion, eight hundred fifty-six billion, one hundred sixty-four million, one hundred sixty-three thousand, four hundred".