85901025600 has 1008 divisors, whose sum is σ = 349164152064. Its totient is φ = 19869696000.

The previous prime is 85901025593. The next prime is 85901025611. The reversal of 85901025600 is 652010958.

It is a happy number.

85901025600 is a `hidden beast` number, since 8 + 5 + 90 + 1 + 0 + 2 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 305697460 + ... + 305697740.

It is an arithmetic number, because the mean of its divisors is an integer number (346393008).

Almost surely, 2^85901025600 is an apocalyptic number.

85901025600 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 85901025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174582076032).

85901025600 is an abundant number, since it is smaller than the sum of its proper divisors (263263126464).

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

85901025600 is a wasteful number, since it uses less digits than its factorization.

85901025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 85901025600 in words is "eighty-five billion, nine hundred one million, twenty-five thousand, six hundred".