85795692516 has 72 divisors (see below), whose sum is σ = 228683480480. Its totient is φ = 27046296576.

The previous prime is 85795692511. The next prime is 85795692517. The reversal of 85795692516 is 61529659758.

85795692516 is a `hidden beast` number, since 8 + 57 + 9 + 5 + 69 + 2 + 516 = 666.

It is not an unprimeable number, because it can be changed into a prime (85795692511) 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 23 ways as a sum of consecutive naturals, for example, 285975 + ... + 503361.

Almost surely, 2^85795692516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85795692516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114341740240).

85795692516 is an abundant number, since it is smaller than the sum of its proper divisors (142887787964).

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

85795692516 is a wasteful number, since it uses less digits than its factorization.

85795692516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217993 (or 217988 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 63.

The spelling of 85795692516 in words is "eighty-five billion, seven hundred ninety-five million, six hundred ninety-two thousand, five hundred sixteen".