70587104517072 has 640 divisors, whose sum is σ = 240291775342080. Its totient is φ = 19557478563840.

The previous prime is 70587104516947. The next prime is 70587104517143. The reversal of 70587104517072 is 27071540178507.

70587104517072 is a `hidden beast` number, since 7 + 0 + 58 + 7 + 1 + 0 + 4 + 517 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19217832228 + ... + 19217835900.

It is an arithmetic number, because the mean of its divisors is an integer number (375455898972).

Almost surely, 2^{70587104517072} is an apocalyptic number.

70587104517072 is a gapful number since it is divisible by the number (72) 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 70587104517072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120145887671040).

70587104517072 is an abundant number, since it is smaller than the sum of its proper divisors (169704670825008).

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

70587104517072 is a wasteful number, since it uses less digits than its factorization.

70587104517072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 3841600, while the sum is 54.

The spelling of 70587104517072 in words is "seventy trillion, five hundred eighty-seven billion, one hundred four million, five hundred seventeen thousand, seventy-two".