85181915120 has 40 divisors (see below), whose sum is σ = 198068843616. Its totient is φ = 34069171968.

The previous prime is 85181915099. The next prime is 85181915123. The reversal of 85181915120 is 2151918158.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×85181915120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85181915123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 785309 + ... + 887171.

Almost surely, 2^85181915120 is an apocalyptic number.

85181915120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85181915120 is an abundant number, since it is smaller than the sum of its proper divisors (112886928496).

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

85181915120 is a wasteful number, since it uses less digits than its factorization.

85181915120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112329 (or 112323 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 41.

The spelling of 85181915120 in words is "eighty-five billion, one hundred eighty-one million, nine hundred fifteen thousand, one hundred twenty".