86996523840 has 224 divisors, whose sum is σ = 279325791360. Its totient is φ = 22939262976.

The previous prime is 86996523833. The next prime is 86996523841. The reversal of 86996523840 is 4832569968.

It is a hoax number, since the sum of its digits (60) 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 (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86996523841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32716431 + ... + 32719089.

It is an arithmetic number, because the mean of its divisors is an integer number (1246990140).

Almost surely, 2^86996523840 is an apocalyptic number.

86996523840 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 86996523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139662895680).

86996523840 is an abundant number, since it is smaller than the sum of its proper divisors (192329267520).

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

86996523840 is a wasteful number, since it uses less digits than its factorization.

86996523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 86996523840 in words is "eighty-six billion, nine hundred ninety-six million, five hundred twenty-three thousand, eight hundred forty".