86127378096960 has 672 divisors, whose sum is σ = 328864808563200. Its totient is φ = 21389685811200.

The previous prime is 86127378096923. The next prime is 86127378096961. The reversal of 86127378096960 is 6969087372168.

86127378096960 is a `hidden beast` number, since 8 + 61 + 27 + 378 + 0 + 96 + 96 + 0 = 666.

It is a super-2 number, since 2×86127378096960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86127378096961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86674935 + ... + 87662985.

It is an arithmetic number, because the mean of its divisors is an integer number (489382155600).

Almost surely, 2^{86127378096960} is an apocalyptic number.

86127378096960 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 86127378096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164432404281600).

86127378096960 is an abundant number, since it is smaller than the sum of its proper divisors (242737430466240).

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

86127378096960 is a wasteful number, since it uses less digits than its factorization.

86127378096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988161 (or 988139 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 86127378096960 in words is "eighty-six trillion, one hundred twenty-seven billion, three hundred seventy-eight million, ninety-six thousand, nine hundred sixty".