85331257600 has 108 divisors (see below), whose sum is σ = 211334464180. Its totient is φ = 34112102400.

The previous prime is 85331257589. The next prime is 85331257621. The reversal of 85331257600 is 675213358.

It can be written as a sum of positive squares in 6 ways, for example, as 11799173376 + 73532084224 = 108624^2 + 271168^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15286810 + ... + 15292390.

Almost surely, 2^85331257600 is an apocalyptic number.

85331257600 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 85331257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105667232090).

85331257600 is an abundant number, since it is smaller than the sum of its proper divisors (126003206580).

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

85331257600 is a wasteful number, since it uses less digits than its factorization.

85331257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7996 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 85331257600 in words is "eighty-five billion, three hundred thirty-one million, two hundred fifty-seven thousand, six hundred".