70965966256900 has 729 divisors, whose sum is σ = 189032162536413. Its totient is φ = 23096942668800.

The previous prime is 70965966256849. The next prime is 70965966256901. The reversal of 70965966256900 is 965266956907.

It is a happy number.

The square root of 70965966256900 is 8424130.

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

It can be written as a sum of positive squares in 13 ways, for example, as 63040074689284 + 7925891567616 = 7939778^2 + 2815296^2 .

It is a super-2 number, since 2×70965966256900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 70965966256900.

It is not an unprimeable number, because it can be changed into a prime (70965966256901) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 517999753632 + ... + 517999753768.

Almost surely, 2^{70965966256900} is an apocalyptic number.

70965966256900 is the 8424130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70965966256900

70965966256900 is an abundant number, since it is smaller than the sum of its proper divisors (118066196279513).

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

70965966256900 is a wasteful number, since it uses less digits than its factorization.

70965966256900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 70.

The spelling of 70965966256900 in words is "seventy trillion, nine hundred sixty-five billion, nine hundred sixty-six million, two hundred fifty-six thousand, nine hundred".