85149092160 has 560 divisors, whose sum is σ = 335034038592. Its totient is φ = 20354457600.

The previous prime is 85149092137. The next prime is 85149092167. The reversal of 85149092160 is 6129094158.

85149092160 is a `hidden beast` number, since 85 + 1 + 490 + 9 + 21 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85149092167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20811715 + ... + 20815805.

Almost surely, 2^85149092160 is an apocalyptic number.

85149092160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85149092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167517019296).

85149092160 is an abundant number, since it is smaller than the sum of its proper divisors (249884946432).

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

85149092160 is a wasteful number, since it uses less digits than its factorization.

85149092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 85149092160 in words is "eighty-five billion, one hundred forty-nine million, ninety-two thousand, one hundred sixty".