2211138518400 has 960 divisors, whose sum is σ = 9366096960000. Its totient is φ = 503189729280.

The previous prime is 2211138518341. The next prime is 2211138518417. The reversal of 2211138518400 is 48158311122.

It is a happy number.

2211138518400 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 138 + 518 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 433639051 + ... + 433644149.

It is an arithmetic number, because the mean of its divisors is an integer number (9756351000).

Almost surely, 2^{2211138518400} is an apocalyptic number.

2211138518400 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 2211138518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683048480000).

2211138518400 is an abundant number, since it is smaller than the sum of its proper divisors (7154958441600).

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

2211138518400 is a wasteful number, since it uses less digits than its factorization.

2211138518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381 (or 5355 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 2211138518400 in words is "two trillion, two hundred eleven billion, one hundred thirty-eight million, five hundred eighteen thousand, four hundred".