21759999995712 has 224 divisors, whose sum is σ = 63454652083584. Its totient is φ = 6526025728000.

The previous prime is 21759999995693. The next prime is 21759999995717.

It is a happy number.

21759999995712 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21759999995717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566750788 + ... + 566789180.

Almost surely, 2^{21759999995712} is an apocalyptic number.

21759999995712 is a gapful number since it is divisible by the number (22) 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 21759999995712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31727326041792).

21759999995712 is an abundant number, since it is smaller than the sum of its proper divisors (41694652087872).

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

21759999995712 is a wasteful number, since it uses less digits than its factorization.

21759999995712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41177 (or 41167 counting only the distinct ones).

The product of its digits is 2604060900, while the sum is 84.

The spelling of 21759999995712 in words is "twenty-one trillion, seven hundred fifty-nine billion, nine hundred ninety-nine million, nine hundred ninety-five thousand, seven hundred twelve".