85750984023600 has 1920 divisors, whose sum is σ = 357222128320512. Its totient is φ = 17120216678400.

The previous prime is 85750984023557. The next prime is 85750984023611. The reversal of 85750984023600 is 632048905758.

It is a super-2 number, since 2×85750984023600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56751146845 + ... + 56751148355.

Almost surely, 2^{85750984023600} is an apocalyptic number.

85750984023600 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 85750984023600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178611064160256).

85750984023600 is an abundant number, since it is smaller than the sum of its proper divisors (271471144296912).

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

85750984023600 is a wasteful number, since it uses less digits than its factorization.

85750984023600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 85750984023600 in words is "eighty-five trillion, seven hundred fifty billion, nine hundred eighty-four million, twenty-three thousand, six hundred".