85392864450 has 72 divisors (see below), whose sum is σ = 229644230400. Its totient is φ = 22749389280.

The previous prime is 85392864379. The next prime is 85392864481. The reversal of 85392864450 is 5446829358.

85392864450 is a `hidden beast` number, since 8 + 539 + 2 + 8 + 64 + 45 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376231 + ... + 558869.

It is an arithmetic number, because the mean of its divisors is an integer number (3189503200).

Almost surely, 2^85392864450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85392864450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114822115200).

85392864450 is an abundant number, since it is smaller than the sum of its proper divisors (144251365950).

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

85392864450 is a wasteful number, since it uses less digits than its factorization.

85392864450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183696 (or 183688 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 85392864450 in words is "eighty-five billion, three hundred ninety-two million, eight hundred sixty-four thousand, four hundred fifty".