11457952200 has 300 divisors, whose sum is σ = 41216419365. Its totient is φ = 2950093440.

The previous prime is 11457952193. The next prime is 11457952237. The reversal of 11457952200 is 225975411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11457952200 is a `hidden beast` number, since 1 + 14 + 579 + 52 + 20 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 99082116 + 11358870084 = 9954^2 + 106578^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=75690.

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

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 395101786 + ... + 395101814.

Almost surely, 2^11457952200 is an apocalyptic number.

11457952200 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 11457952200

11457952200 is an abundant number, since it is smaller than the sum of its proper divisors (29758467165).

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

11457952200 is an frugal number, since it uses more digits than its factorization.

11457952200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 11457952200 in words is "eleven billion, four hundred fifty-seven million, nine hundred fifty-two thousand, two hundred".