84858638971392 has 1280 divisors, whose sum is σ = 315393813504000. Its totient is φ = 22130680135680.

The previous prime is 84858638971363. The next prime is 84858638971417. The reversal of 84858638971392 is 29317983685848.

84858638971392 is a `hidden beast` number, since 8 + 4 + 8 + 5 + 86 + 3 + 89 + 71 + 392 = 666.

It is a super-2 number, since 2×84858638971392² (a number of 29 digits) contains 22 as substring.

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, 3595845609 + ... + 3595869207.

It is an arithmetic number, because the mean of its divisors is an integer number (246401416800).

Almost surely, 2^{84858638971392} 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 84858638971392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157696906752000).

84858638971392 is an abundant number, since it is smaller than the sum of its proper divisors (230535174532608).

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

84858638971392 is a wasteful number, since it uses less digits than its factorization.

84858638971392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23774 (or 23752 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 84858638971392 in words is "eighty-four trillion, eight hundred fifty-eight billion, six hundred thirty-eight million, nine hundred seventy-one thousand, three hundred ninety-two".