86827590144 has 160 divisors (see below), whose sum is σ = 258458904000. Its totient is φ = 28780019712.

The previous prime is 86827590133. The next prime is 86827590229. The reversal of 86827590144 is 44109572868.

It is a happy number.

86827590144 is a `hidden beast` number, since 8 + 6 + 8 + 2 + 7 + 590 + 1 + 44 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2456952 + ... + 2492040.

It is an arithmetic number, because the mean of its divisors is an integer number (1615368150).

Almost surely, 2^86827590144 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 86827590144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129229452000).

86827590144 is an abundant number, since it is smaller than the sum of its proper divisors (171631313856).

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

86827590144 is a wasteful number, since it uses less digits than its factorization.

86827590144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35295 (or 35273 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 86827590144 in words is "eighty-six billion, eight hundred twenty-seven million, five hundred ninety thousand, one hundred forty-four".