86767913232 has 1920 divisors, whose sum is σ = 379025740800. Its totient is φ = 18393661440.

The previous prime is 86767913201. The next prime is 86767913359. The reversal of 86767913232 is 23231976768.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2345078718 + ... + 2345078754.

It is an arithmetic number, because the mean of its divisors is an integer number (197409240).

Almost surely, 2^86767913232 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 86767913232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189512870400).

86767913232 is an abundant number, since it is smaller than the sum of its proper divisors (292257827568).

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

86767913232 is a wasteful number, since it uses less digits than its factorization.

86767913232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

It can be divided in two parts, 86767 and 913232, that added together give a palindrome (999999).

The spelling of 86767913232 in words is "eighty-six billion, seven hundred sixty-seven million, nine hundred thirteen thousand, two hundred thirty-two".