70580944321056 has 672 divisors, whose sum is σ = 231953910249600. Its totient is φ = 20993103839232.

The previous prime is 70580944321037. The next prime is 70580944321081. The reversal of 70580944321056 is 65012344908507.

It is a happy number.

70580944321056 is a `hidden beast` number, since 7 + 0 + 580 + 9 + 4 + 4 + 3 + 2 + 1 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 70580944320993 and 70580944321011.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1264886245 + ... + 1264942043.

It is an arithmetic number, because the mean of its divisors is an integer number (345169509300).

It is a 1-persistent number, because it is pandigital, but 2⋅70580944321056 = 141161888642112 is not.

Almost surely, 2^{70580944321056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70580944321056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115976955124800).

70580944321056 is an abundant number, since it is smaller than the sum of its proper divisors (161372965928544).

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

70580944321056 is a wasteful number, since it uses less digits than its factorization.

70580944321056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55980 (or 55957 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 70580944321056 in words is "seventy trillion, five hundred eighty billion, nine hundred forty-four million, three hundred twenty-one thousand, fifty-six".