85745900887920 has 1280 divisors, whose sum is σ = 371686077235200. Its totient is φ = 17688685547520.

The previous prime is 85745900887903. The next prime is 85745900887949. The reversal of 85745900887920 is 2978800954758.

85745900887920 is a `hidden beast` number, since 8 + 5 + 7 + 4 + 590 + 0 + 8 + 8 + 7 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1599381915 + ... + 1599435525.

It is an arithmetic number, because the mean of its divisors is an integer number (290379747840).

Almost surely, 2^{85745900887920} is an apocalyptic number.

85745900887920 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 85745900887920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185843038617600).

85745900887920 is an abundant number, since it is smaller than the sum of its proper divisors (285940176347280).

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

85745900887920 is a wasteful number, since it uses less digits than its factorization.

85745900887920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53835 (or 53823 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 85745900887920 in words is "eighty-five trillion, seven hundred forty-five billion, nine hundred million, eight hundred eighty-seven thousand, nine hundred twenty".