9872985600 has 180 divisors, whose sum is σ = 35333102376. Its totient is φ = 2632765440.

The previous prime is 9872985517. The next prime is 9872985641. The reversal of 9872985600 is 65892789.

It is a happy number.

9872985600 is a `hidden beast` number, since 9 + 8 + 7 + 29 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72349 + ... + 158051.

Almost surely, 2^9872985600 is an apocalyptic number.

9872985600 is a gapful number since it is divisible by the number (90) 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 9872985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17666551188).

9872985600 is an abundant number, since it is smaller than the sum of its proper divisors (25460116776).

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

9872985600 is a wasteful number, since it uses less digits than its factorization.

9872985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85737 (or 85713 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 9872985600 is about 99362.8985084473. The cubic root of 9872985600 is about 2145.2743222599.

The spelling of 9872985600 in words is "nine billion, eight hundred seventy-two million, nine hundred eighty-five thousand, six hundred".