70081712083200 has 432 divisors, whose sum is σ = 235725546349440. Its totient is φ = 18329818890240.

The previous prime is 70081712083171. The next prime is 70081712083223. The reversal of 70081712083200 is 238021718007.

It is a super-2 number, since 2×70081712083200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3686755296 + ... + 3686774304.

It is an arithmetic number, because the mean of its divisors is an integer number (545660986920).

Almost surely, 2^{70081712083200} 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 70081712083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117862773174720).

70081712083200 is an abundant number, since it is smaller than the sum of its proper divisors (165643834266240).

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

70081712083200 is a wasteful number, since it uses less digits than its factorization.

70081712083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22714 (or 22695 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 70081712083200 in words is "seventy trillion, eighty-one billion, seven hundred twelve million, eighty-three thousand, two hundred".