85726772496 has 280 divisors, whose sum is σ = 259229345760. Its totient is φ = 27428502528.

The previous prime is 85726772479. The next prime is 85726772561. The reversal of 85726772496 is 69427762758.

85726772496 is a `hidden beast` number, since 8 + 5 + 72 + 6 + 7 + 72 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 29590120 + ... + 29593016.

It is an arithmetic number, because the mean of its divisors is an integer number (925819092).

Almost surely, 2^85726772496 is an apocalyptic number.

85726772496 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85726772496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129614672880).

85726772496 is an abundant number, since it is smaller than the sum of its proper divisors (173502573264).

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

85726772496 is a wasteful number, since it uses less digits than its factorization.

85726772496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3004 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 85726772496 in words is "eighty-five billion, seven hundred twenty-six million, seven hundred seventy-two thousand, four hundred ninety-six".