11207725200 has 720 divisors, whose sum is σ = 47291901696. Its totient is φ = 2402611200.

The previous prime is 11207725171. The next prime is 11207725211. The reversal of 11207725200 is 252770211.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×11207725200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35355442 + ... + 35355758.

Almost surely, 2^11207725200 is an apocalyptic number.

11207725200 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 11207725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23645950848).

11207725200 is an abundant number, since it is smaller than the sum of its proper divisors (36084176496).

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

11207725200 is a wasteful number, since it uses less digits than its factorization.

11207725200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 11207725200 in words is "eleven billion, two hundred seven million, seven hundred twenty-five thousand, two hundred".