86926275144 has 128 divisors (see below), whose sum is σ = 246699091200. Its totient is φ = 28351918080.

The previous prime is 86926275133. The next prime is 86926275179. The reversal of 86926275144 is 44157262968.

86926275144 is a `hidden beast` number, since 8 + 6 + 9 + 2 + 627 + 5 + 1 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525877 + ... + 2560059.

It is an arithmetic number, because the mean of its divisors is an integer number (1927336650).

Almost surely, 2^86926275144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86926275144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123349545600).

86926275144 is an abundant number, since it is smaller than the sum of its proper divisors (159772816056).

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

86926275144 is a wasteful number, since it uses less digits than its factorization.

86926275144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34452 (or 34442 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 86926275144 in words is "eighty-six billion, nine hundred twenty-six million, two hundred seventy-five thousand, one hundred forty-four".