70025621516928 has 1920 divisors, whose sum is σ = 275914286366400. Its totient is φ = 17556366643200.

The previous prime is 70025621516927. The next prime is 70025621516969. The reversal of 70025621516928 is 82961512652007.

70025621516928 is a `hidden beast` number, since 7 + 0 + 0 + 2 + 5 + 621 + 5 + 1 + 6 + 9 + 2 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (70025621516923) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19609525383 + ... + 19609528953.

Almost surely, 2^{70025621516928} 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 70025621516928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137957143183200).

70025621516928 is an abundant number, since it is smaller than the sum of its proper divisors (205888664849472).

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

70025621516928 is a wasteful number, since it uses less digits than its factorization.

70025621516928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 70025621516928 in words is "seventy trillion, twenty-five billion, six hundred twenty-one million, five hundred sixteen thousand, nine hundred twenty-eight".