86050920960 has 960 divisors, whose sum is σ = 343790853120. Its totient is φ = 19747307520.

The previous prime is 86050920953. The next prime is 86050921007. The reversal of 86050920960 is 6902905068.

86050920960 is a `hidden beast` number, since 8 + 60 + 509 + 20 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230699334 + ... + 230699706.

It is an arithmetic number, because the mean of its divisors is an integer number (358115472).

Almost surely, 2^86050920960 is an apocalyptic number.

86050920960 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 86050920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171895426560).

86050920960 is an abundant number, since it is smaller than the sum of its proper divisors (257739932160).

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

86050920960 is a wasteful number, since it uses less digits than its factorization.

86050920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 86050920960 in words is "eighty-six billion, fifty million, nine hundred twenty thousand, nine hundred sixty".