86309376720 has 320 divisors, whose sum is σ = 324217105920. Its totient is φ = 18541707264.

The previous prime is 86309376691. The next prime is 86309376773. The reversal of 86309376720 is 2767390368.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 26530614 + ... + 26533866.

It is an arithmetic number, because the mean of its divisors is an integer number (1013178456).

Almost surely, 2^86309376720 is an apocalyptic number.

86309376720 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 86309376720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162108552960).

86309376720 is an abundant number, since it is smaller than the sum of its proper divisors (237907729200).

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

86309376720 is a wasteful number, since it uses less digits than its factorization.

86309376720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 86309376720 in words is "eighty-six billion, three hundred nine million, three hundred seventy-six thousand, seven hundred twenty".