11855459347200 has 1296 divisors, whose sum is σ = 51698211102720. Its totient is φ = 2530150318080.

The previous prime is 11855459347187. The next prime is 11855459347213. The reversal of 11855459347200 is 274395455811.

11855459347200 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 5 + 4 + 593 + 47 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11855459347187) and next prime (11855459347213).

It is a super-2 number, since 2×11855459347200² (a number of 27 digits) contains 22 as substring.

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, 870501991 + ... + 870515609.

Almost surely, 2^{11855459347200} is an apocalyptic number.

11855459347200 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 11855459347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25849105551360).

11855459347200 is an abundant number, since it is smaller than the sum of its proper divisors (39842751755520).

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

11855459347200 is a wasteful number, since it uses less digits than its factorization.

11855459347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13802 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 11855459347200 in words is "eleven trillion, eight hundred fifty-five billion, four hundred fifty-nine million, three hundred forty-seven thousand, two hundred".