70971272508456 has 384 divisors, whose sum is σ = 207955238400000. Its totient is φ = 21795318673920.

The previous prime is 70971272508359. The next prime is 70971272508463. The reversal of 70971272508456 is 65480527217907.

70971272508456 is a `hidden beast` number, since 7 + 0 + 9 + 7 + 1 + 2 + 72 + 508 + 4 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 70971272508393 and 70971272508402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10606972071 + ... + 10606978761.

It is an arithmetic number, because the mean of its divisors is an integer number (541550100000).

Almost surely, 2^{70971272508456} is an apocalyptic number.

70971272508456 is a gapful number since it is divisible by the number (76) 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 70971272508456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103977619200000).

70971272508456 is an abundant number, since it is smaller than the sum of its proper divisors (136983965891544).

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

70971272508456 is a wasteful number, since it uses less digits than its factorization.

70971272508456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 70971272508456 in words is "seventy trillion, nine hundred seventy-one billion, two hundred seventy-two million, five hundred eight thousand, four hundred fifty-six".