85136496261696 has 224 divisors, whose sum is σ = 273049824028800. Its totient is φ = 25797893160960.

The previous prime is 85136496261689. The next prime is 85136496261709. The reversal of 85136496261696 is 69616269463158.

85136496261696 is a `hidden beast` number, since 8 + 5 + 1 + 36 + 496 + 2 + 6 + 16 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560146800 + ... + 560298768.

It is an arithmetic number, because the mean of its divisors is an integer number (1218972428700).

Almost surely, 2^{85136496261696} 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 85136496261696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136524912014400).

85136496261696 is an abundant number, since it is smaller than the sum of its proper divisors (187913327767104).

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

85136496261696 is a wasteful number, since it uses less digits than its factorization.

85136496261696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181474 (or 181458 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 85136496261696 in words is "eighty-five trillion, one hundred thirty-six billion, four hundred ninety-six million, two hundred sixty-one thousand, six hundred ninety-six".