11039098921200 has 480 divisors, whose sum is σ = 46352543723520. Its totient is φ = 2441827814400.

The previous prime is 11039098921177. The next prime is 11039098921229. The reversal of 11039098921200 is 212989093011.

It is a super-3 number, since 3×11039098921200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 11559 + ... + 4698758.

It is an arithmetic number, because the mean of its divisors is an integer number (96567799424).

Almost surely, 2^{11039098921200} is an apocalyptic number.

11039098921200 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 11039098921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23176271861760).

11039098921200 is an abundant number, since it is smaller than the sum of its proper divisors (35313444802320).

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

11039098921200 is a wasteful number, since it uses less digits than its factorization.

11039098921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710382 (or 4710365 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 11039098921200 in words is "eleven trillion, thirty-nine billion, ninety-eight million, nine hundred twenty-one thousand, two hundred".