11225787300 has 864 divisors, whose sum is σ = 46380781440. Its totient is φ = 2307916800.

The previous prime is 11225787283. The next prime is 11225787337. The reversal of 11225787300 is 378752211.

11225787300 is a `hidden beast` number, since 1 + 12 + 2 + 578 + 73 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 104913847 + ... + 104913953.

It is an arithmetic number, because the mean of its divisors is an integer number (53681460).

Almost surely, 2^11225787300 is an apocalyptic number.

11225787300 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 11225787300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23190390720).

11225787300 is an abundant number, since it is smaller than the sum of its proper divisors (35154994140).

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

11225787300 is a wasteful number, since it uses less digits than its factorization.

11225787300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11225787300 in words is "eleven billion, two hundred twenty-five million, seven hundred eighty-seven thousand, three hundred".