11483587315200 has 3600 divisors, whose sum is σ = 53058097832256. Its totient is φ = 2169770803200.

The previous prime is 11483587315199. The next prime is 11483587315229. The reversal of 11483587315200 is 251378538411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11483587315200.

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 171396825567 + ... + 171396825633.

Almost surely, 2^{11483587315200} is an apocalyptic number.

11483587315200 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 11483587315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26529048916128).

11483587315200 is an abundant number, since it is smaller than the sum of its proper divisors (41574510517056).

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

11483587315200 is an equidigital number, since it uses as much as digits as its factorization.

11483587315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 11483587315200 in words is "eleven trillion, four hundred eighty-three billion, five hundred eighty-seven million, three hundred fifteen thousand, two hundred".