85517403696 has 320 divisors, whose sum is σ = 263066496000. Its totient is φ = 26852020992.

The previous prime is 85517403691. The next prime is 85517403731. The reversal of 85517403696 is 69630471558.

85517403696 is a `hidden beast` number, since 8 + 5 + 517 + 4 + 0 + 36 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85517403691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194800245 + ... + 194800683.

It is an arithmetic number, because the mean of its divisors is an integer number (822082800).

Almost surely, 2^85517403696 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 85517403696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131533248000).

85517403696 is an abundant number, since it is smaller than the sum of its proper divisors (177549092304).

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

85517403696 is a wasteful number, since it uses less digits than its factorization.

85517403696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 85517403696 in words is "eighty-five billion, five hundred seventeen million, four hundred three thousand, six hundred ninety-six".