2138088960000 has 1560 divisors, whose sum is σ = 9165252480384. Its totient is φ = 487710720000.

The previous prime is 2138088959989. The next prime is 2138088960011. The reversal of 2138088960000 is 698808312.

2138088960000 is a `hidden beast` number, since 2 + 1 + 38 + 0 + 8 + 8 + 9 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2138088959989) and next prime (2138088960011).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4354559755 + ... + 4354560245.

Almost surely, 2^{2138088960000} is an apocalyptic number.

2138088960000 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 2138088960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582626240192).

2138088960000 is an abundant number, since it is smaller than the sum of its proper divisors (7027163520384).

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

2138088960000 is an frugal number, since it uses more digits than its factorization.

2138088960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2138088960000 in words is "two trillion, one hundred thirty-eight billion, eighty-eight million, nine hundred sixty thousand".