86253914880 has 576 divisors, whose sum is σ = 353124710400. Its totient is φ = 19528335360.

The previous prime is 86253914843. The next prime is 86253914891. The reversal of 86253914880 is 8841935268.

86253914880 is a `hidden beast` number, since 8 + 62 + 539 + 1 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26367645 + ... + 26370915.

Almost surely, 2^86253914880 is an apocalyptic number.

86253914880 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 86253914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176562355200).

86253914880 is an abundant number, since it is smaller than the sum of its proper divisors (266870795520).

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

86253914880 is a wasteful number, since it uses less digits than its factorization.

86253914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 86253914880 in words is "eighty-six billion, two hundred fifty-three million, nine hundred fourteen thousand, eight hundred eighty".