9815972025600 has 1296 divisors, whose sum is σ = 39149398736448. Its totient is φ = 2330978549760.

The previous prime is 9815972025581. The next prime is 9815972025649. The reversal of 9815972025600 is 65202795189.

9815972025600 is a `hidden beast` number, since 9 + 8 + 1 + 5 + 9 + 7 + 2 + 0 + 25 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2672465364 + ... + 2672469036.

Almost surely, 2^{9815972025600} is an apocalyptic number.

9815972025600 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 9815972025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19574699368224).

9815972025600 is an abundant number, since it is smaller than the sum of its proper divisors (29333426710848).

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

9815972025600 is a wasteful number, since it uses less digits than its factorization.

9815972025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 9815972025600 in words is "nine trillion, eight hundred fifteen billion, nine hundred seventy-two million, twenty-five thousand, six hundred".