11455351200 has 108 divisors (see below), whose sum is σ = 40394457558. Its totient is φ = 3054758400.

The previous prime is 11455351189. The next prime is 11455351211. The reversal of 11455351200 is 215355411.

11455351200 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 535 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11455351189) and next prime (11455351211).

It can be written as a sum of positive squares in 3 ways, for example, as 11143758096 + 311593104 = 105564^2 + 17652^2 .

It is a super-2 number, since 2×11455351200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 788311 + ... + 802710.

Almost surely, 2^11455351200 is an apocalyptic number.

11455351200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11455351200 is an abundant number, since it is smaller than the sum of its proper divisors (28939106358).

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

11455351200 is a wasteful number, since it uses less digits than its factorization.

11455351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591047 (or 1591031 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 11455351200 in words is "eleven billion, four hundred fifty-five million, three hundred fifty-one thousand, two hundred".