70959901012900 has 81 divisors (see below), whose sum is σ = 155971437066081. Its totient is φ = 28022041550880.

The previous prime is 70959901012867. The next prime is 70959901013003. The reversal of 70959901012900 is 921010995907.

It is a happy number.

The square root of 70959901012900 is 8423770.

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

It can be written as a sum of positive squares in only one way, i.e., 25545564364644 + 45414336648256 = 5054262^2 + 6739016^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6654772969 + ... + 6654783631.

Almost surely, 2^{70959901012900} is an apocalyptic number.

70959901012900 is the 8423770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70959901012900

70959901012900 is an abundant number, since it is smaller than the sum of its proper divisors (85011536053181).

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

70959901012900 is an frugal number, since it uses more digits than its factorization.

70959901012900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21498 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 52.

The spelling of 70959901012900 in words is "seventy trillion, nine hundred fifty-nine billion, nine hundred one million, twelve thousand, nine hundred".