86474835792 has 160 divisors (see below), whose sum is σ = 257557007360. Its totient is φ = 27749744640.

The previous prime is 86474835757. The next prime is 86474835809. The reversal of 86474835792 is 29753847468.

86474835792 is a `hidden beast` number, since 8 + 64 + 7 + 483 + 5 + 7 + 92 = 666.

It is a super-3 number, since 3×86474835792³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2567928 + ... + 2601384.

It is an arithmetic number, because the mean of its divisors is an integer number (1609731296).

Almost surely, 2^86474835792 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 86474835792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128778503680).

86474835792 is an abundant number, since it is smaller than the sum of its proper divisors (171082171568).

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

86474835792 is a wasteful number, since it uses less digits than its factorization.

86474835792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33698 (or 33686 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 86474835792 in words is "eighty-six billion, four hundred seventy-four million, eight hundred thirty-five thousand, seven hundred ninety-two".