86582761920 has 896 divisors, whose sum is σ = 332870860800. Its totient is φ = 21134131200.

The previous prime is 86582761919. The next prime is 86582762023. The reversal of 86582761920 is 2916728568.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 551482482 + ... + 551482638.

Almost surely, 2^86582761920 is an apocalyptic number.

86582761920 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 86582761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166435430400).

86582761920 is an abundant number, since it is smaller than the sum of its proper divisors (246288098880).

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

86582761920 is a wasteful number, since it uses less digits than its factorization.

86582761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 86582761920 in words is "eighty-six billion, five hundred eighty-two million, seven hundred sixty-one thousand, nine hundred twenty".