21334059626880 has 3072 divisors, whose sum is σ = 97662730475520. Its totient is φ = 3824607559680.

The previous prime is 21334059626809. The next prime is 21334059626897. The reversal of 21334059626880 is 8862695043312.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 21334059626880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 67299872482 + ... + 67299872798.

It is an arithmetic number, because the mean of its divisors is an integer number (31791253410).

Almost surely, 2^{21334059626880} is an apocalyptic number.

21334059626880 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 21334059626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48831365237760).

21334059626880 is an abundant number, since it is smaller than the sum of its proper divisors (76328670848640).

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

21334059626880 is a wasteful number, since it uses less digits than its factorization.

21334059626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 21334059626880 in words is "twenty-one trillion, three hundred thirty-four billion, fifty-nine million, six hundred twenty-six thousand, eight hundred eighty".