86350097333808 has 2400 divisors, whose sum is σ = 348910692286464. Its totient is φ = 20085221376000.

The previous prime is 86350097333807. The next prime is 86350097333887. The reversal of 86350097333808 is 80833379005368.

86350097333808 is a `hidden beast` number, since 8 + 6 + 3 + 500 + 97 + 3 + 3 + 38 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (86350097333807) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 35288146441 + ... + 35288148887.

Almost surely, 2^{86350097333808} is an apocalyptic number.

86350097333808 is a gapful number since it is divisible by the number (88) 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 86350097333808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174455346143232).

86350097333808 is an abundant number, since it is smaller than the sum of its proper divisors (262560594952656).

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

86350097333808 is a wasteful number, since it uses less digits than its factorization.

86350097333808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 86350097333808 in words is "eighty-six trillion, three hundred fifty billion, ninety-seven million, three hundred thirty-three thousand, eight hundred eight".