85392812736 has 1008 divisors, whose sum is σ = 329353420032. Its totient is φ = 21685708800.

The previous prime is 85392812717. The next prime is 85392812741. The reversal of 85392812736 is 63721829358.

85392812736 is a `hidden beast` number, since 8 + 539 + 2 + 81 + 27 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

Its product of digits (4354560) is a multiple of the sum of its prime factors (280).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 511334125 + ... + 511334291.

It is an arithmetic number, because the mean of its divisors is an integer number (326739504).

Almost surely, 2^85392812736 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 85392812736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164676710016).

85392812736 is an abundant number, since it is smaller than the sum of its proper divisors (243960607296).

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

85392812736 is a wasteful number, since it uses less digits than its factorization.

85392812736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 85392812736 in words is "eighty-five billion, three hundred ninety-two million, eight hundred twelve thousand, seven hundred thirty-six".