21555133716480 has 3456 divisors, whose sum is σ = 94727251906560. Its totient is φ = 4090877706240.

The previous prime is 21555133716407. The next prime is 21555133716481. The reversal of 21555133716480 is 8461733155512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21555133716481) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 406700636134 + ... + 406700636186.

It is an arithmetic number, because the mean of its divisors is an integer number (27409505760).

Almost surely, 2^{21555133716480} is an apocalyptic number.

21555133716480 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 21555133716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47363625953280).

21555133716480 is an abundant number, since it is smaller than the sum of its proper divisors (73172118190080).

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

21555133716480 is a wasteful number, since it uses less digits than its factorization.

21555133716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 21555133716480 in words is "twenty-one trillion, five hundred fifty-five billion, one hundred thirty-three million, seven hundred sixteen thousand, four hundred eighty".