21602188928 has 128 divisors (see below), whose sum is σ = 46716652800. Its totient is φ = 9915125760.

The previous prime is 21602188921. The next prime is 21602188939. The reversal of 21602188928 is 82988120612.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21602188921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38782826 + ... + 38783382.

It is an arithmetic number, because the mean of its divisors is an integer number (364973850).

Almost surely, 2^21602188928 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 21602188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23358326400).

21602188928 is an abundant number, since it is smaller than the sum of its proper divisors (25114463872).

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

21602188928 is a wasteful number, since it uses less digits than its factorization.

21602188928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The spelling of 21602188928 in words is "twenty-one billion, six hundred two million, one hundred eighty-eight thousand, nine hundred twenty-eight".