2138255670096 has 320 divisors, whose sum is σ = 7559991129600. Its totient is φ = 563484708864.

The previous prime is 2138255670043. The next prime is 2138255670169. The reversal of 2138255670096 is 6900765528312.

2138255670096 is a `hidden beast` number, since 2 + 1 + 3 + 82 + 556 + 7 + 0 + 0 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 50652070 + ... + 50694266.

It is an arithmetic number, because the mean of its divisors is an integer number (23624972280).

Almost surely, 2^{2138255670096} is an apocalyptic number.

2138255670096 is a gapful number since it is divisible by the number (26) 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 2138255670096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779995564800).

2138255670096 is an abundant number, since it is smaller than the sum of its proper divisors (5421735459504).

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

2138255670096 is a wasteful number, since it uses less digits than its factorization.

2138255670096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43523 (or 43511 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2138255670096 in words is "two trillion, one hundred thirty-eight billion, two hundred fifty-five million, six hundred seventy thousand, ninety-six".