85945192515 has 288 divisors, whose sum is σ = 200393256960. Its totient is φ = 33237734400.

The previous prime is 85945192511. The next prime is 85945192549. The reversal of 85945192515 is 51529154958.

85945192515 is a `hidden beast` number, since 8 + 5 + 94 + 519 + 25 + 15 = 666.

It is not a de Polignac number, because 85945192515 - 2² = 85945192511 is a prime.

It is a super-2 number, since 2×85945192515² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85945192511) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31354045 + ... + 31356785.

It is an arithmetic number, because the mean of its divisors is an integer number (695809920).

Almost surely, 2^85945192515 is an apocalyptic number.

85945192515 is an abundant number, since it is smaller than the sum of its proper divisors (114448064445).

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

85945192515 is a wasteful number, since it uses less digits than its factorization.

85945192515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2819 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 54.

The spelling of 85945192515 in words is "eighty-five billion, nine hundred forty-five million, one hundred ninety-two thousand, five hundred fifteen".