21139284187392 has 432 divisors, whose sum is σ = 67902223213440. Its totient is φ = 5831423410176.

The previous prime is 21139284187391. The next prime is 21139284187453. The reversal of 21139284187392 is 29378148293112.

It is a super-3 number, since 3×21139284187392³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21139284187391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374297268 + ... + 374353740.

Almost surely, 2^{21139284187392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21139284187392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33951111606720).

21139284187392 is an abundant number, since it is smaller than the sum of its proper divisors (46762939026048).

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

21139284187392 is an frugal number, since it uses more digits than its factorization.

21139284187392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56556 (or 56514 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The spelling of 21139284187392 in words is "twenty-one trillion, one hundred thirty-nine billion, two hundred eighty-four million, one hundred eighty-seven thousand, three hundred ninety-two".