70955857660900 has 27 divisors (see below), whose sum is σ = 153974393914971. Its totient is φ = 28382309370240.

The previous prime is 70955857660873. The next prime is 70955857661057. The reversal of 70955857660900 is 906675855907.

The square root of 70955857660900 is 8423530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11722639259556 + 59233218401344 = 3423834^2 + 7696312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83814124 + ... + 84656476.

Almost surely, 2^{70955857660900} is an apocalyptic number.

70955857660900 is the 8423530-th square number.

It is an amenable number.

70955857660900 is an abundant number, since it is smaller than the sum of its proper divisors (83018536254071).

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

70955857660900 is an frugal number, since it uses more digits than its factorization.

70955857660900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684720 (or 842360 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 67.

The spelling of 70955857660900 in words is "seventy trillion, nine hundred fifty-five billion, eight hundred fifty-seven million, six hundred sixty thousand, nine hundred".