86738581970432 has 80 divisors (see below), whose sum is σ = 198462932976000. Its totient is φ = 37099180873728.

The previous prime is 86738581970431. The next prime is 86738581970461. The reversal of 86738581970432 is 23407918583768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86738581970431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22461698 + ... + 26038529.

It is an arithmetic number, because the mean of its divisors is an integer number (2480786662200).

It is a 1-persistent number, because it is pandigital, but 2⋅86738581970432 = 173477163940864 is not.

Almost surely, 2^{86738581970432} is an apocalyptic number.

It is an amenable number.

86738581970432 is an abundant number, since it is smaller than the sum of its proper divisors (111724351005568).

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

86738581970432 is an equidigital number, since it uses as much as digits as its factorization.

86738581970432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48500751 (or 48500735 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 71.

The spelling of 86738581970432 in words is "eighty-six trillion, seven hundred thirty-eight billion, five hundred eighty-one million, nine hundred seventy thousand, four hundred thirty-two".