86170409472 has 320 divisors, whose sum is σ = 280965231360. Its totient is φ = 22907191296.

The previous prime is 86170409461. The next prime is 86170409491. The reversal of 86170409472 is 27490407168.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 16265128 + ... + 16270424.

It is an arithmetic number, because the mean of its divisors is an integer number (878016348).

Almost surely, 2^86170409472 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 86170409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140482615680).

86170409472 is an abundant number, since it is smaller than the sum of its proper divisors (194794821888).

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

86170409472 is a wasteful number, since it uses less digits than its factorization.

86170409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 86170409472 in words is "eighty-six billion, one hundred seventy million, four hundred nine thousand, four hundred seventy-two".