11098979203200 has 3072 divisors, whose sum is σ = 48152575180800. Its totient is φ = 2188247040000.

The previous prime is 11098979203141. The next prime is 11098979203237. The reversal of 11098979203200 is 230297989011.

It is a super-2 number, since 2×11098979203200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 103728777547 + ... + 103728777653.

It is an arithmetic number, because the mean of its divisors is an integer number (15674666400).

Almost surely, 2^{11098979203200} is an apocalyptic number.

11098979203200 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 11098979203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24076287590400).

11098979203200 is an abundant number, since it is smaller than the sum of its proper divisors (37053595977600).

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

11098979203200 is a wasteful number, since it uses less digits than its factorization.

11098979203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 11098979203200 in words is "eleven trillion, ninety-eight billion, nine hundred seventy-nine million, two hundred three thousand, two hundred".