86885023680 has 896 divisors, whose sum is σ = 383843174400. Its totient is φ = 18011455488.

The previous prime is 86885023663. The next prime is 86885023697. The reversal of 86885023680 is 8632058868.

It is an interprime number because it is at equal distance from previous prime (86885023663) and next prime (86885023697).

It is a hoax number, since the sum of its digits (54) 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 (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, 46387224 + ... + 46389096.

It is an arithmetic number, because the mean of its divisors is an integer number (428396400).

Almost surely, 2^86885023680 is an apocalyptic number.

86885023680 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 86885023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191921587200).

86885023680 is an abundant number, since it is smaller than the sum of its proper divisors (296958150720).

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

86885023680 is a wasteful number, since it uses less digits than its factorization.

86885023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 86885023680 in words is "eighty-six billion, eight hundred eighty-five million, twenty-three thousand, six hundred eighty".