85875741600 has 144 divisors (see below), whose sum is σ = 304937045280. Its totient is φ = 20818355200.

The previous prime is 85875741599. The next prime is 85875741613. The reversal of 85875741600 is 614757858.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1600035 + ... + 1652834.

It is an arithmetic number, because the mean of its divisors is an integer number (2117618370).

Almost surely, 2^85875741600 is an apocalyptic number.

85875741600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85875741600 is an abundant number, since it is smaller than the sum of its proper divisors (219061303680).

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

85875741600 is a wasteful number, since it uses less digits than its factorization.

85875741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252903 (or 3252890 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 51.

The spelling of 85875741600 in words is "eighty-five billion, eight hundred seventy-five million, seven hundred forty-one thousand, six hundred".