21759059712 has 288 divisors, whose sum is σ = 64869038080. Its totient is φ = 6429818880.

The previous prime is 21759059657. The next prime is 21759059719. The reversal of 21759059712 is 21795095712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21759059719) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 70876263 + ... + 70876569.

Almost surely, 2^21759059712 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 21759059712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32434519040).

21759059712 is an abundant number, since it is smaller than the sum of its proper divisors (43109978368).

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

21759059712 is a wasteful number, since it uses less digits than its factorization.

21759059712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 48.

The spelling of 21759059712 in words is "twenty-one billion, seven hundred fifty-nine million, fifty-nine thousand, seven hundred twelve".