10997928007200 has 1728 divisors, whose sum is σ = 44381109427200. Its totient is φ = 2547862732800.

The previous prime is 10997928007189. The next prime is 10997928007223. The reversal of 10997928007200 is 270082979901.

10997928007200 is a `hidden beast` number, since 1 + 0 + 99 + 79 + 280 + 0 + 7 + 200 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9793345839 + ... + 9793346961.

It is an arithmetic number, because the mean of its divisors is an integer number (25683512400).

Almost surely, 2^{10997928007200} is an apocalyptic number.

10997928007200 is a gapful number since it is divisible by the number (10) 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 10997928007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190554713600).

10997928007200 is an abundant number, since it is smaller than the sum of its proper divisors (33383181420000).

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

10997928007200 is a wasteful number, since it uses less digits than its factorization.

10997928007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 10997928007200 in words is "ten trillion, nine hundred ninety-seven billion, nine hundred twenty-eight million, seven thousand, two hundred".