2113215325200 has 360 divisors, whose sum is σ = 8585499826176. Its totient is φ = 471239424000.

The previous prime is 2113215325181. The next prime is 2113215325211. The reversal of 2113215325200 is 25235123112.

2113215325200 is a `hidden beast` number, since 2 + 1 + 132 + 1 + 5 + 3 + 2 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 10545 + ... + 2055855.

Almost surely, 2^{2113215325200} is an apocalyptic number.

2113215325200 is a gapful number since it is divisible by the number (20) 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 2113215325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292749913088).

2113215325200 is an abundant number, since it is smaller than the sum of its proper divisors (6472284500976).

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

2113215325200 is a wasteful number, since it uses less digits than its factorization.

2113215325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045383 (or 2045369 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 2113215325200 in words is "two trillion, one hundred thirteen billion, two hundred fifteen million, three hundred twenty-five thousand, two hundred".