11013579200 has 168 divisors, whose sum is σ = 30902678352. Its totient is φ = 3827220480.

The previous prime is 11013579179. The next prime is 11013579221. The reversal of 11013579200 is 297531011.

It is an interprime number because it is at equal distance from previous prime (11013579179) and next prime (11013579221).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338027 + ... + 369173.

It is an arithmetic number, because the mean of its divisors is an integer number (183944514).

Almost surely, 2^11013579200 is an apocalyptic number.

11013579200 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 11013579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451339176).

11013579200 is an abundant number, since it is smaller than the sum of its proper divisors (19889099152).

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

11013579200 is a wasteful number, since it uses less digits than its factorization.

11013579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31199 (or 31184 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The spelling of 11013579200 in words is "eleven billion, thirteen million, five hundred seventy-nine thousand, two hundred".