9902601985600 has 189 divisors, whose sum is σ = 24576197851443. Its totient is φ = 3927256320000.

The previous prime is 9902601985589. The next prime is 9902601985621. The reversal of 9902601985600 is 65891062099.

It is a happy number.

The square root of 9902601985600 is 3146840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1243189320256 + 8659412665344 = 1114984^2 + 2942688^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19006913340 + ... + 19006913860.

Almost surely, 2^{9902601985600} is an apocalyptic number.

9902601985600 is the 3146840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9902601985600

9902601985600 is an abundant number, since it is smaller than the sum of its proper divisors (14673595865843).

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

9902601985600 is an frugal number, since it uses more digits than its factorization.

9902601985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The spelling of 9902601985600 in words is "nine trillion, nine hundred two billion, six hundred one million, nine hundred eighty-five thousand, six hundred".