86396103360 has 1344 divisors, whose sum is σ = 376616927232. Its totient is φ = 18426507264.

The previous prime is 86396103347. The next prime is 86396103397. The reversal of 86396103360 is 6330169368.

86396103360 is a `hidden beast` number, since 8 + 639 + 6 + 1 + 0 + 3 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 838797069 + ... + 838797171.

It is an arithmetic number, because the mean of its divisors is an integer number (280220928).

Almost surely, 2^86396103360 is an apocalyptic number.

86396103360 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 86396103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188308463616).

86396103360 is an abundant number, since it is smaller than the sum of its proper divisors (290220823872).

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

86396103360 is a wasteful number, since it uses less digits than its factorization.

86396103360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 86396103360 in words is "eighty-six billion, three hundred ninety-six million, one hundred three thousand, three hundred sixty".