70697125540800 has 2520 divisors, whose sum is σ = 295945902595200. Its totient is φ = 15970977792000.

The previous prime is 70697125540777. The next prime is 70697125540817. The reversal of 70697125540800 is 804552179607.

70697125540800 is a `hidden beast` number, since 7 + 0 + 6 + 9 + 7 + 1 + 2 + 554 + 0 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 189536529414 + ... + 189536529786.

Almost surely, 2^{70697125540800} 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 70697125540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147972951297600).

70697125540800 is an abundant number, since it is smaller than the sum of its proper divisors (225248777054400).

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

70697125540800 is a wasteful number, since it uses less digits than its factorization.

70697125540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 70697125540800 in words is "seventy trillion, six hundred ninety-seven billion, one hundred twenty-five million, five hundred forty thousand, eight hundred".