2053638186336 has 504 divisors, whose sum is σ = 6772853353392. Its totient is φ = 612061401600.

The previous prime is 2053638186311. The next prime is 2053638186337. The reversal of 2053638186336 is 6336818363502.

It is a happy number.

2053638186336 is a `hidden beast` number, since 2 + 0 + 536 + 3 + 8 + 18 + 63 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053638186337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 172178005 + ... + 172189931.

It is an arithmetic number, because the mean of its divisors is an integer number (13438201098).

Almost surely, 2^{2053638186336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053638186336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386426676696).

2053638186336 is an abundant number, since it is smaller than the sum of its proper divisors (4719215167056).

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

2053638186336 is a wasteful number, since it uses less digits than its factorization.

2053638186336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038 (or 12004 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 2053638186336 in words is "two trillion, fifty-three billion, six hundred thirty-eight million, one hundred eighty-six thousand, three hundred thirty-six".