86290508009376 has 1344 divisors, whose sum is σ = 312352356556800. Its totient is φ = 23145444403200.

The previous prime is 86290508009353. The next prime is 86290508009429. The reversal of 86290508009376 is 67390080509268.

86290508009376 is a `hidden beast` number, since 8 + 6 + 2 + 90 + 508 + 0 + 0 + 9 + 37 + 6 = 666.

86290508009376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×86290508009376² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4383111405 + ... + 4383131091.

It is an arithmetic number, because the mean of its divisors is an integer number (232405027200).

Almost surely, 2^{86290508009376} 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 86290508009376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156176178278400).

86290508009376 is an abundant number, since it is smaller than the sum of its proper divisors (226061848547424).

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

86290508009376 is a wasteful number, since it uses less digits than its factorization.

86290508009376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19805 (or 19782 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 86290508009376 in words is "eighty-six trillion, two hundred ninety billion, five hundred eight million, nine thousand, three hundred seventy-six".