21254482658304 has 396 divisors, whose sum is σ = 74025178628544. Its totient is φ = 5753086746624.

The previous prime is 21254482658293. The next prime is 21254482658317. The reversal of 21254482658304 is 40385628445212.

21254482658304 is a `hidden beast` number, since 2 + 1 + 2 + 54 + 4 + 8 + 2 + 6 + 583 + 0 + 4 = 666.

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 35 ways as a sum of consecutive naturals, for example, 22832509 + ... + 23745155.

It is an arithmetic number, because the mean of its divisors is an integer number (186932269264).

Almost surely, 2^{21254482658304} is an apocalyptic number.

21254482658304 is a gapful number since it is divisible by the number (24) 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 21254482658304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37012589314272).

21254482658304 is an abundant number, since it is smaller than the sum of its proper divisors (52770695970240).

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

21254482658304 is a wasteful number, since it uses less digits than its factorization.

21254482658304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912718 (or 912678 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 21254482658304 in words is "twenty-one trillion, two hundred fifty-four billion, four hundred eighty-two million, six hundred fifty-eight thousand, three hundred four".