70731806789952 has 1120 divisors, whose sum is σ = 277169196370176. Its totient is φ = 17267215564800.

The previous prime is 70731806789951. The next prime is 70731806790079. The reversal of 70731806789952 is 25998760813707.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70731806789951) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5164029568 + ... + 5164043264.

Almost surely, 2^{70731806789952} is an apocalyptic number.

70731806789952 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 70731806789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138584598185088).

70731806789952 is an abundant number, since it is smaller than the sum of its proper divisors (206437389580224).

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

70731806789952 is a wasteful number, since it uses less digits than its factorization.

70731806789952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14517 (or 14498 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 70731806789952 in words is "seventy trillion, seven hundred thirty-one billion, eight hundred six million, seven hundred eighty-nine thousand, nine hundred fifty-two".