86756590080 has 640 divisors, whose sum is σ = 335007129600. Its totient is φ = 21200486400.

The previous prime is 86756590069. The next prime is 86756590181. The reversal of 86756590080 is 8009565768.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 86756589999 and 86756590026.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40710615 + ... + 40712745.

It is an arithmetic number, because the mean of its divisors is an integer number (523448640).

Almost surely, 2^86756590080 is an apocalyptic number.

86756590080 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 86756590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167503564800).

86756590080 is an abundant number, since it is smaller than the sum of its proper divisors (248250539520).

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

86756590080 is a wasteful number, since it uses less digits than its factorization.

86756590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 86756590080 in words is "eighty-six billion, seven hundred fifty-six million, five hundred ninety thousand, eighty".