2113943605200 has 2160 divisors, whose sum is σ = 9303566283648. Its totient is φ = 451256832000.

The previous prime is 2113943605183. The next prime is 2113943605219. The reversal of 2113943605200 is 25063493112.

2113943605200 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 9 + 43 + 605 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 34654813170 + ... + 34654813230.

Almost surely, 2^{2113943605200} is an apocalyptic number.

2113943605200 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 2113943605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651783141824).

2113943605200 is an abundant number, since it is smaller than the sum of its proper divisors (7189622678448).

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

2113943605200 is a wasteful number, since it uses less digits than its factorization.

2113943605200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2113943605200 in words is "two trillion, one hundred thirteen billion, nine hundred forty-three million, six hundred five thousand, two hundred".