86788510432 has 192 divisors, whose sum is σ = 198437299200. Its totient is φ = 37008728064.

The previous prime is 86788510427. The next prime is 86788510493. The reversal of 86788510432 is 23401588768.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 86788510432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116807853 + ... + 116808595.

It is an arithmetic number, because the mean of its divisors is an integer number (1033527600).

Almost surely, 2^86788510432 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 86788510432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99218649600).

86788510432 is an abundant number, since it is smaller than the sum of its proper divisors (111648788768).

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

86788510432 is a wasteful number, since it uses less digits than its factorization.

86788510432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 86788510432 in words is "eighty-six billion, seven hundred eighty-eight million, five hundred ten thousand, four hundred thirty-two".