21608588352 has 112 divisors (see below), whose sum is σ = 61616661120. Its totient is φ = 6643826688.

The previous prime is 21608588321. The next prime is 21608588387. The reversal of 21608588352 is 25388580612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4712653 + ... + 4717235.

It is an arithmetic number, because the mean of its divisors is an integer number (550148760).

Almost surely, 2^21608588352 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 21608588352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30808330560).

21608588352 is an abundant number, since it is smaller than the sum of its proper divisors (40008072768).

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

21608588352 is a wasteful number, since it uses less digits than its factorization.

21608588352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6500 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

It can be divided in two parts, 21608 and 588352, that added together give a triangular number (609960 = T₁₁₀₄).

The spelling of 21608588352 in words is "twenty-one billion, six hundred eight million, five hundred eighty-eight thousand, three hundred fifty-two".