86906776320 has 972 divisors, whose sum is σ = 379172023776. Its totient is φ = 18316247040.

The previous prime is 86906776289. The next prime is 86906776349. The reversal of 86906776320 is 2367760968.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 95396665 + ... + 95397575.

Almost surely, 2^86906776320 is an apocalyptic number.

86906776320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86906776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189586011888).

86906776320 is an abundant number, since it is smaller than the sum of its proper divisors (292265247456).

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

86906776320 is a wasteful number, since it uses less digits than its factorization.

86906776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 941 counting only the distinct ones).

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

The spelling of 86906776320 in words is "eighty-six billion, nine hundred six million, seven hundred seventy-six thousand, three hundred twenty".