11341828915200 has 2040 divisors, whose sum is σ = 49794040670880. Its totient is φ = 2497078886400.

The previous prime is 11341828915177. The next prime is 11341828915213. The reversal of 11341828915200 is 251982814311.

11341828915200 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 18 + 28 + 91 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26940210990 + ... + 26940211410.

Almost surely, 2^{11341828915200} is an apocalyptic number.

11341828915200 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 11341828915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24897020335440).

11341828915200 is an abundant number, since it is smaller than the sum of its proper divisors (38452211755680).

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

11341828915200 is an frugal number, since it uses more digits than its factorization.

11341828915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11341828915200 in words is "eleven trillion, three hundred forty-one billion, eight hundred twenty-eight million, nine hundred fifteen thousand, two hundred".