70101867872400 has 960 divisors, whose sum is σ = 289670507900928. Its totient is φ = 14085209825280.

The previous prime is 70101867872383. The next prime is 70101867872401. The reversal of 70101867872400 is 427876810107.

It is not an unprimeable number, because it can be changed into a prime (70101867872401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 570071722 + ... + 570194678.

Almost surely, 2^{70101867872400} is an apocalyptic number.

70101867872400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70101867872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144835253950464).

70101867872400 is an abundant number, since it is smaller than the sum of its proper divisors (219568640028528).

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

70101867872400 is a wasteful number, since it uses less digits than its factorization.

70101867872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123248 (or 123237 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 51.

The spelling of 70101867872400 in words is "seventy trillion, one hundred one billion, eight hundred sixty-seven million, eight hundred seventy-two thousand, four hundred".