21334607921088 has 1008 divisors, whose sum is σ = 81169681582080. Its totient is φ = 5436722903040.

The previous prime is 21334607921063. The next prime is 21334607921101. The reversal of 21334607921088 is 88012970643312.

It is a happy number.

21334607921088 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 4 + 607 + 9 + 21 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 698129553 + ... + 698160111.

It is an arithmetic number, because the mean of its divisors is an integer number (80525477760).

Almost surely, 2^{21334607921088} is an apocalyptic number.

21334607921088 is a gapful number since it is divisible by the number (28) 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 21334607921088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40584840791040).

21334607921088 is an abundant number, since it is smaller than the sum of its proper divisors (59835073660992).

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

21334607921088 is a wasteful number, since it uses less digits than its factorization.

21334607921088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30668 (or 30635 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 21334607921088 in words is "twenty-one trillion, three hundred thirty-four billion, six hundred seven million, nine hundred twenty-one thousand, eighty-eight".