85913744256 has 256 divisors, whose sum is σ = 264113740800. Its totient is φ = 27468564480.

The previous prime is 85913744207. The next prime is 85913744291. The reversal of 85913744256 is 65244731958.

It is a happy number.

85913744256 is a `hidden beast` number, since 8 + 591 + 3 + 7 + 4 + 42 + 5 + 6 = 666.

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

It is a congruent number.

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, 9074181 + ... + 9083643.

It is an arithmetic number, because the mean of its divisors is an integer number (1031694300).

Almost surely, 2^85913744256 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 85913744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132056870400).

85913744256 is an abundant number, since it is smaller than the sum of its proper divisors (178199996544).

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

85913744256 is a wasteful number, since it uses less digits than its factorization.

85913744256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9594 (or 9576 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 85913744256 in words is "eighty-five billion, nine hundred thirteen million, seven hundred forty-four thousand, two hundred fifty-six".