86254907171904 has 1323 divisors, whose sum is σ = 283748173486389. Its totient is φ = 25998641694720.

The previous prime is 86254907171887. The next prime is 86254907171957. The reversal of 86254907171904 is 40917170945268.

The square root of 86254907171904 is 9287352.

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

86254907171904 is a `hidden beast` number, since 8 + 6 + 2 + 5 + 490 + 71 + 71 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48962487182400 + 37292419989504 = 6997320^2 + 6106752^2 .

It is a super-2 number, since 2×86254907171904² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1181574070812 + ... + 1181574070884.

Almost surely, 2^{86254907171904} is an apocalyptic number.

86254907171904 is the 9287352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86254907171904

86254907171904 is an abundant number, since it is smaller than the sum of its proper divisors (197493266314485).

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

86254907171904 is an frugal number, since it uses more digits than its factorization.

86254907171904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 86254907171904 in words is "eighty-six trillion, two hundred fifty-four billion, nine hundred seven million, one hundred seventy-one thousand, nine hundred four".