9874255600 has 120 divisors (see below), whose sum is σ = 25914479760. Its totient is φ = 3585792000.

The previous prime is 9874255591. The next prime is 9874255613. The reversal of 9874255600 is 65524789.

It is a congruent 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, 5670730 + ... + 5672470.

It is an arithmetic number, because the mean of its divisors is an integer number (215953998).

Almost surely, 2^9874255600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9874255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12957239880).

9874255600 is an abundant number, since it is smaller than the sum of its proper divisors (16040224160).

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

9874255600 is a wasteful number, since it uses less digits than its factorization.

9874255600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The square root of 9874255600 is about 99369.2890182877. The cubic root of 9874255600 is about 2145.3663032705.

The spelling of 9874255600 in words is "nine billion, eight hundred seventy-four million, two hundred fifty-five thousand, six hundred".