86926815360 has 2304 divisors, whose sum is σ = 425121540480. Its totient is φ = 16721510400.

The previous prime is 86926815347. The next prime is 86926815419. The reversal of 86926815360 is 6351862968.

It is a happy number.

86926815360 is a `hidden beast` number, since 8 + 6 + 9 + 26 + 81 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86926815297 and 86926815306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1425029730 + ... + 1425029790.

Almost surely, 2^86926815360 is an apocalyptic number.

86926815360 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 86926815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212560770240).

86926815360 is an abundant number, since it is smaller than the sum of its proper divisors (338194725120).

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

86926815360 is a wasteful number, since it uses less digits than its factorization.

86926815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 86926815360 in words is "eighty-six billion, nine hundred twenty-six million, eight hundred fifteen thousand, three hundred sixty".