11199456900 has 432 divisors, whose sum is σ = 38824181760. Its totient is φ = 2792361600.

The previous prime is 11199456887. The next prime is 11199456913. The reversal of 11199456900 is 965499111.

11199456900 is a `hidden beast` number, since 1 + 1 + 199 + 456 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11199456887) and next prime (11199456913).

It is a super-2 number, since 2×11199456900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 58635805 + ... + 58635995.

Almost surely, 2^11199456900 is an apocalyptic number.

11199456900 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 11199456900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19412090880).

11199456900 is an abundant number, since it is smaller than the sum of its proper divisors (27624724860).

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

11199456900 is a wasteful number, since it uses less digits than its factorization.

11199456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 11199456900 in words is "eleven billion, one hundred ninety-nine million, four hundred fifty-six thousand, nine hundred".