86251770336960 has 896 divisors, whose sum is σ = 331185516748800. Its totient is φ = 21051187200000.

The previous prime is 86251770336863. The next prime is 86251770336989. The reversal of 86251770336960 is 6963307715268.

86251770336960 is a `hidden beast` number, since 86 + 2 + 517 + 7 + 0 + 3 + 36 + 9 + 6 + 0 = 666.

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, 3058450860 + ... + 3058479060.

It is an arithmetic number, because the mean of its divisors is an integer number (369626692800).

Almost surely, 2^{86251770336960} is an apocalyptic number.

86251770336960 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 86251770336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165592758374400).

86251770336960 is an abundant number, since it is smaller than the sum of its proper divisors (244933746411840).

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

86251770336960 is a wasteful number, since it uses less digits than its factorization.

86251770336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28878 (or 28862 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 86251770336960 in words is "eighty-six trillion, two hundred fifty-one billion, seven hundred seventy million, three hundred thirty-six thousand, nine hundred sixty".