21354735568320 has 4704 divisors, whose sum is σ = 103447873880064. Its totient is φ = 4097188085760.

The previous prime is 21354735568307. The next prime is 21354735568351. The reversal of 21354735568320 is 2386553745312.

21354735568320 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 4 + 7 + 3 + 556 + 83 + 2 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 168147524097 + ... + 168147524223.

Almost surely, 2^{21354735568320} is an apocalyptic number.

21354735568320 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 21354735568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51723936940032).

21354735568320 is an abundant number, since it is smaller than the sum of its proper divisors (82093138311744).

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

21354735568320 is a wasteful number, since it uses less digits than its factorization.

21354735568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 21354735568320 in words is "twenty-one trillion, three hundred fifty-four billion, seven hundred thirty-five million, five hundred sixty-eight thousand, three hundred twenty".