21799267015680 has 1584 divisors, whose sum is σ = 99406968425856. Its totient is φ = 4529578475520.

The previous prime is 21799267015649. The next prime is 21799267015709. The reversal of 21799267015680 is 8651076299712.

21799267015680 is a `hidden beast` number, since 2 + 1 + 7 + 9 + 9 + 2 + 67 + 0 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 670585987 + ... + 670618493.

Almost surely, 2^{21799267015680} is an apocalyptic number.

21799267015680 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 21799267015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49703484212928).

21799267015680 is an abundant number, since it is smaller than the sum of its proper divisors (77607701410176).

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

21799267015680 is a wasteful number, since it uses less digits than its factorization.

21799267015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32572 (or 32535 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 21799267015680 in words is "twenty-one trillion, seven hundred ninety-nine billion, two hundred sixty-seven million, fifteen thousand, six hundred eighty".