11219072400 has 120 divisors (see below), whose sum is σ = 39931625760. Its totient is φ = 2991749760.

The previous prime is 11219072393. The next prime is 11219072413. The reversal of 11219072400 is 427091211.

11219072400 is a `hidden beast` number, since 1 + 1 + 2 + 190 + 72 + 400 = 666.

11219072400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 508602 + ... + 530201.

It is an arithmetic number, because the mean of its divisors is an integer number (332763548).

Almost surely, 2^11219072400 is an apocalyptic number.

11219072400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11219072400 is an abundant number, since it is smaller than the sum of its proper divisors (28712553360).

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

11219072400 is a wasteful number, since it uses less digits than its factorization.

11219072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038830 (or 1038813 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11219072400 in words is "eleven billion, two hundred nineteen million, seventy-two thousand, four hundred".