21087096768 has 336 divisors, whose sum is σ = 65325711360. Its totient is φ = 6737126400.

The previous prime is 21087096733. The next prime is 21087096827. The reversal of 21087096768 is 86769078012.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 92083278 + ... + 92083506.

It is an arithmetic number, because the mean of its divisors is an integer number (194421760).

Almost surely, 2^21087096768 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 21087096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32662855680).

21087096768 is an abundant number, since it is smaller than the sum of its proper divisors (44238614592).

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

21087096768 is a wasteful number, since it uses less digits than its factorization.

21087096768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 21087096768 in words is "twenty-one billion, eighty-seven million, ninety-six thousand, seven hundred sixty-eight".