970542885238080 has 4032 divisors, whose sum is σ = 4158500419584000. Its totient is φ = 190834237440000.

The previous prime is 970542885238079. The next prime is 970542885238093. The reversal of 970542885238080 is 80832588245079.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 970542885237996 and 970542885238014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1944975721671 + ... + 1944975722169.

It is an arithmetic number, because the mean of its divisors is an integer number (1031374112000).

Almost surely, 2^{970542885238080} 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 970542885238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079250209792000).

970542885238080 is an abundant number, since it is smaller than the sum of its proper divisors (3187957534345920).

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

970542885238080 is a wasteful number, since it uses less digits than its factorization.

970542885238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 69.

The spelling of 970542885238080 in words is "nine hundred seventy trillion, five hundred forty-two billion, eight hundred eighty-five million, two hundred thirty-eight thousand, eighty".