86154558336 has 512 divisors, whose sum is σ = 318482841600. Its totient is φ = 22274611200.

The previous prime is 86154558307. The next prime is 86154558337. The reversal of 86154558336 is 63385545168.

It is a happy number.

86154558336 is a `hidden beast` number, since 8 + 6 + 1 + 54 + 5 + 583 + 3 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86154558337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69986841 + ... + 69988071.

It is an arithmetic number, because the mean of its divisors is an integer number (622036800).

Almost surely, 2^86154558336 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 86154558336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159241420800).

86154558336 is an abundant number, since it is smaller than the sum of its proper divisors (232328283264).

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

86154558336 is a wasteful number, since it uses less digits than its factorization.

86154558336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1517 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 86154558336 in words is "eighty-six billion, one hundred fifty-four million, five hundred fifty-eight thousand, three hundred thirty-six".