2138069589120 has 512 divisors, whose sum is σ = 8026301664000. Its totient is φ = 536042078208.

The previous prime is 2138069589109. The next prime is 2138069589169. The reversal of 2138069589120 is 219859608312.

2138069589120 is a `hidden beast` number, since 2 + 1 + 38 + 0 + 6 + 9 + 589 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321076351 + ... + 321083009.

Almost surely, 2^{2138069589120} is an apocalyptic number.

2138069589120 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 2138069589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013150832000).

2138069589120 is an abundant number, since it is smaller than the sum of its proper divisors (5888232074880).

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

2138069589120 is a wasteful number, since it uses less digits than its factorization.

2138069589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 2138069589120 in words is "two trillion, one hundred thirty-eight billion, sixty-nine million, five hundred eighty-nine thousand, one hundred twenty".