86276736000 has 1056 divisors, whose sum is σ = 383116651008. Its totient is φ = 18181324800.

The previous prime is 86276735999. The next prime is 86276736011. The reversal of 86276736000 is 63767268.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104831589 + ... + 104832411.

Almost surely, 2^86276736000 is an apocalyptic number.

86276736000 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 86276736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191558325504).

86276736000 is an abundant number, since it is smaller than the sum of its proper divisors (296839915008).

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

86276736000 is a wasteful number, since it uses less digits than its factorization.

86276736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 86276736000 in words is "eighty-six billion, two hundred seventy-six million, seven hundred thirty-six thousand".