85256724000 has 384 divisors, whose sum is σ = 336007526400. Its totient is φ = 18461260800.

The previous prime is 85256723999. The next prime is 85256724023. The reversal of 85256724000 is 42765258.

It is a self number, because there is not a number n which added to its sum of digits gives 85256724000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1569291 + ... + 1622709.

It is an arithmetic number, because the mean of its divisors is an integer number (875019600).

Almost surely, 2^85256724000 is an apocalyptic number.

85256724000 is a gapful number since it is divisible by the number (80) 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 85256724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168003763200).

85256724000 is an abundant number, since it is smaller than the sum of its proper divisors (250750802400).

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

85256724000 is a wasteful number, since it uses less digits than its factorization.

85256724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53473 (or 53455 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 85256724000 in words is "eighty-five billion, two hundred fifty-six million, seven hundred twenty-four thousand".