11245735200 has 576 divisors, whose sum is σ = 44997120000. Its totient is φ = 2431779840.

The previous prime is 11245735187. The next prime is 11245735211. The reversal of 11245735200 is 253754211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15640441 + ... + 15641159.

It is an arithmetic number, because the mean of its divisors is an integer number (78120000).

Almost surely, 2^11245735200 is an apocalyptic number.

11245735200 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 11245735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560000).

11245735200 is an abundant number, since it is smaller than the sum of its proper divisors (33751384800).

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

11245735200 is a wasteful number, since it uses less digits than its factorization.

11245735200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 11245735200 in words is "eleven billion, two hundred forty-five million, seven hundred thirty-five thousand, two hundred".