10938107980800 has 2112 divisors, whose sum is σ = 53934997939200. Its totient is φ = 2097886003200.

The previous prime is 10938107980753. The next prime is 10938107980841. The reversal of 10938107980800 is 808970183901.

10938107980800 is a `hidden beast` number, since 109 + 381 + 0 + 7 + 9 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 691883296 + ... + 691899104.

Almost surely, 2^{10938107980800} is an apocalyptic number.

10938107980800 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 10938107980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26967498969600).

10938107980800 is an abundant number, since it is smaller than the sum of its proper divisors (42996889958400).

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

10938107980800 is a wasteful number, since it uses less digits than its factorization.

10938107980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15879 (or 15850 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 10938107980800 in words is "ten trillion, nine hundred thirty-eight billion, one hundred seven million, nine hundred eighty thousand, eight hundred".