2138927212800 has 648 divisors, whose sum is σ = 9063332090176. Its totient is φ = 488895160320.

The previous prime is 2138927212781. The next prime is 2138927212811. The reversal of 2138927212800 is 82127298312.

2138927212800 is a `hidden beast` number, since 21 + 3 + 89 + 272 + 1 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10788162 + ... + 10984638.

Almost surely, 2^{2138927212800} is an apocalyptic number.

2138927212800 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 2138927212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531666045088).

2138927212800 is an abundant number, since it is smaller than the sum of its proper divisors (6924404877376).

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

2138927212800 is an equidigital number, since it uses as much as digits as its factorization.

2138927212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196525 (or 196494 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2138927212800 in words is "two trillion, one hundred thirty-eight billion, nine hundred twenty-seven million, two hundred twelve thousand, eight hundred".