85785792000 has 320 divisors, whose sum is σ = 286423435584. Its totient is φ = 22779494400.

The previous prime is 85785791957. The next prime is 85785792161. The reversal of 85785792000 is 29758758.

It is a tau number, because it is divible by the number of its divisors (320).

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, 53183194 + ... + 53184806.

Almost surely, 2^85785792000 is an apocalyptic number.

85785792000 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 85785792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143211717792).

85785792000 is an abundant number, since it is smaller than the sum of its proper divisors (200637643584).

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

85785792000 is a wasteful number, since it uses less digits than its factorization.

85785792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 51.

The spelling of 85785792000 in words is "eighty-five billion, seven hundred eighty-five million, seven hundred ninety-two thousand".