70152520478800 has 120 divisors (see below), whose sum is σ = 168921197280000. Its totient is φ = 27997823293440.

The previous prime is 70152520478767. The next prime is 70152520478801. The reversal of 70152520478800 is 887402525107.

It is a happy number.

It is a super-2 number, since 2×70152520478800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70152520478801) 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 23 ways as a sum of consecutive naturals, for example, 524834376 + ... + 524968024.

It is an arithmetic number, because the mean of its divisors is an integer number (1407676644000).

Almost surely, 2^{70152520478800} 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 70152520478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84460598640000).

70152520478800 is an abundant number, since it is smaller than the sum of its proper divisors (98768676801200).

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

70152520478800 is a wasteful number, since it uses less digits than its factorization.

70152520478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136613 (or 136602 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 49.

The spelling of 70152520478800 in words is "seventy trillion, one hundred fifty-two billion, five hundred twenty million, four hundred seventy-eight thousand, eight hundred".