11251944900 has 432 divisors, whose sum is σ = 43260147840. Its totient is φ = 2482099200.

The previous prime is 11251944859. The next prime is 11251944917. The reversal of 11251944900 is 944915211.

It is a happy number.

11251944900 is a `hidden beast` number, since 1 + 12 + 519 + 44 + 90 + 0 = 666.

11251944900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4931760 + ... + 4934040.

Almost surely, 2^11251944900 is an apocalyptic number.

11251944900 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 11251944900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21630073920).

11251944900 is an abundant number, since it is smaller than the sum of its proper divisors (32008202940).

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

11251944900 is a wasteful number, since it uses less digits than its factorization.

11251944900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

It can be divided in two parts, 1125 and 1944900, that added together give a square (1946025 = 1395²).

The spelling of 11251944900 in words is "eleven billion, two hundred fifty-one million, nine hundred forty-four thousand, nine hundred".