86262808000 has 112 divisors (see below), whose sum is σ = 214074682848. Its totient is φ = 34433280000.

The previous prime is 86262807977. The next prime is 86262808013. The reversal of 86262808000 is 80826268.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3917020 + ... + 3938980.

Almost surely, 2^86262808000 is an apocalyptic number.

86262808000 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 86262808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107037341424).

86262808000 is an abundant number, since it is smaller than the sum of its proper divisors (127811874848).

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

86262808000 is a wasteful number, since it uses less digits than its factorization.

86262808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22479 (or 22459 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 86262808000 in words is "eighty-six billion, two hundred sixty-two million, eight hundred eight thousand".