21740160000000 has 1344 divisors, whose sum is σ = 79636535192448. Its totient is φ = 5271552000000.

The previous prime is 21740159999983. The next prime is 21740160000029. The reversal of 21740160000000 is 6104712.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324479999967 + ... + 324480000033.

Almost surely, 2^{21740160000000} is an apocalyptic number.

21740160000000 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 21740160000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39818267596224).

21740160000000 is an abundant number, since it is smaller than the sum of its proper divisors (57896375192448).

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

21740160000000 is an frugal number, since it uses more digits than its factorization.

21740160000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 21740160000000 its reverse (6104712), we get a palindrome (21740166104712).

The spelling of 21740160000000 in words is "twenty-one trillion, seven hundred forty billion, one hundred sixty million", and thus it is an aban number.