86884902720 has 1176 divisors, whose sum is σ = 394218798048. Its totient is φ = 18027878400.

The previous prime is 86884902703. The next prime is 86884902721. The reversal of 86884902720 is 2720948868.

86884902720 is a `hidden beast` number, since 8 + 6 + 88 + 490 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86884902721) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 125737575 + ... + 125738265.

Almost surely, 2^86884902720 is an apocalyptic number.

86884902720 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 86884902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197109399024).

86884902720 is an abundant number, since it is smaller than the sum of its proper divisors (307333895328).

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

86884902720 is a wasteful number, since it uses less digits than its factorization.

86884902720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 86884902720 in words is "eighty-six billion, eight hundred eighty-four million, nine hundred two thousand, seven hundred twenty".