2138758914600 has 1152 divisors, whose sum is σ = 9293592672000. Its totient is φ = 427714560000.

The previous prime is 2138758914569. The next prime is 2138758914661. The reversal of 2138758914600 is 64198578312.

2138758914600 is a `hidden beast` number, since 2 + 1 + 38 + 75 + 89 + 1 + 460 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1643933950 + ... + 1643935250.

It is an arithmetic number, because the mean of its divisors is an integer number (8067354750).

It is a 1-persistent number, because it is pandigital, but 2⋅2138758914600 = 4277517829200 is not.

Almost surely, 2^{2138758914600} is an apocalyptic number.

2138758914600 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 2138758914600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646796336000).

2138758914600 is an abundant number, since it is smaller than the sum of its proper divisors (7154833757400).

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

2138758914600 is a wasteful number, since it uses less digits than its factorization.

2138758914600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2138758914600 in words is "two trillion, one hundred thirty-eight billion, seven hundred fifty-eight million, nine hundred fourteen thousand, six hundred".