11099157872200 has 768 divisors, whose sum is σ = 29898657792000. Its totient is φ = 3808949760000.

The previous prime is 11099157872137. The next prime is 11099157872207. The reversal of 11099157872200 is 227875199011.

It is not an unprimeable number, because it can be changed into a prime (11099157872207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48894968487 + ... + 48894968713.

It is an arithmetic number, because the mean of its divisors is an integer number (38930544000).

Almost surely, 2^{11099157872200} is an apocalyptic number.

11099157872200 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 11099157872200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14949328896000).

11099157872200 is an abundant number, since it is smaller than the sum of its proper divisors (18799499919800).

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

11099157872200 is a wasteful number, since it uses less digits than its factorization.

11099157872200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 52.

The spelling of 11099157872200 in words is "eleven trillion, ninety-nine billion, one hundred fifty-seven million, eight hundred seventy-two thousand, two hundred".