21339803564352 has 1008 divisors, whose sum is σ = 79579608501120. Its totient is φ = 5550633713664.

The previous prime is 21339803564327. The next prime is 21339803564369. The reversal of 21339803564352 is 25346530893312.

21339803564352 is a `hidden beast` number, since 2 + 13 + 39 + 8 + 0 + 3 + 564 + 35 + 2 = 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, 1343047224 + ... + 1343063112.

Almost surely, 2^{21339803564352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21339803564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39789804250560).

21339803564352 is an abundant number, since it is smaller than the sum of its proper divisors (58239804936768).

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

21339803564352 is a wasteful number, since it uses less digits than its factorization.

21339803564352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16022 (or 15987 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 21339803564352 in words is "twenty-one trillion, three hundred thirty-nine billion, eight hundred three million, five hundred sixty-four thousand, three hundred fifty-two".