70959348800 has 168 divisors, whose sum is σ = 176760118920. Its totient is φ = 28035072000.

The previous prime is 70959348791. The next prime is 70959348821. The reversal of 70959348800 is 884395907.

It can be written as a sum of positive squares in 12 ways, for example, as 827597824 + 70131750976 = 28768^2 + 264824^2 .

It is a super-2 number, since 2×70959348800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104814062 + ... + 104814738.

It is an arithmetic number, because the mean of its divisors is an integer number (1052143565).

Almost surely, 2^70959348800 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 70959348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88380059460).

70959348800 is an abundant number, since it is smaller than the sum of its proper divisors (105800770120).

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

70959348800 is a wasteful number, since it uses less digits than its factorization.

70959348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 70959348800 in words is "seventy billion, nine hundred fifty-nine million, three hundred forty-eight thousand, eight hundred".