86975813760 has 256 divisors, whose sum is σ = 315589893120. Its totient is φ = 20168192000.

The previous prime is 86975813759. The next prime is 86975813761. The reversal of 86975813760 is 6731857968.

It is an interprime number because it is at equal distance from previous prime (86975813759) and next prime (86975813761).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 86975813694 and 86975813703.

It is not an unprimeable number, because it can be changed into a prime (86975813761) 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, 396235 + ... + 575285.

It is an arithmetic number, because the mean of its divisors is an integer number (1232773020).

Almost surely, 2^86975813760 is an apocalyptic number.

86975813760 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 86975813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157794946560).

86975813760 is an abundant number, since it is smaller than the sum of its proper divisors (228614079360).

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

86975813760 is a wasteful number, since it uses less digits than its factorization.

86975813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179107 (or 179095 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 86975813760 in words is "eighty-six billion, nine hundred seventy-five million, eight hundred thirteen thousand, seven hundred sixty".