86285558156004 has 81 divisors (see below), whose sum is σ = 218472963961161. Its totient is φ = 28714162982400.

The previous prime is 86285558155967. The next prime is 86285558156011. The reversal of 86285558156004 is 40065185558268.

The square root of 86285558156004 is 9289002.

It is a perfect power (a square), and thus also a powerful number.

86285558156004 is a `hidden beast` number, since 8 + 6 + 2 + 8 + 5 + 5 + 5 + 8 + 15 + 600 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86070113650404 + 215444505600 = 9277398^2 + 464160^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53894788804 + ... + 53894790404.

Almost surely, 2^{86285558156004} is an apocalyptic number.

86285558156004 is the 9289002-nd square number.

It is an amenable number.

86285558156004 is an abundant number, since it is smaller than the sum of its proper divisors (132187405805157).

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

86285558156004 is an frugal number, since it uses more digits than its factorization.

86285558156004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 92160000, while the sum is 63.

The spelling of 86285558156004 in words is "eighty-six trillion, two hundred eighty-five billion, five hundred fifty-eight million, one hundred fifty-six thousand, four".