85573825920 has 256 divisors, whose sum is σ = 330626880000. Its totient is φ = 20745123840.

The previous prime is 85573825913. The next prime is 85573825957. The reversal of 85573825920 is 2952837558.

85573825920 is a `hidden beast` number, since 8 + 557 + 3 + 82 + 5 + 9 + 2 + 0 = 666.

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

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, 35020 + ... + 415179.

It is an arithmetic number, because the mean of its divisors is an integer number (1291511250).

Almost surely, 2^85573825920 is an apocalyptic number.

85573825920 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 85573825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165313440000).

85573825920 is an abundant number, since it is smaller than the sum of its proper divisors (245053054080).

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

85573825920 is a wasteful number, since it uses less digits than its factorization.

85573825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450238 (or 450220 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 85573825920 in words is "eighty-five billion, five hundred seventy-three million, eight hundred twenty-five thousand, nine hundred twenty".