21828010752 has 108 divisors (see below), whose sum is σ = 62976437160. Its totient is φ = 7271276544.

The previous prime is 21828010709. The next prime is 21828010759. The reversal of 21828010752 is 25701082812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21828010759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7064824 + ... + 7067912.

Almost surely, 2^21828010752 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 21828010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31488218580).

21828010752 is an abundant number, since it is smaller than the sum of its proper divisors (41148426408).

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

21828010752 is a wasteful number, since it uses less digits than its factorization.

21828010752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 21828010752 in words is "twenty-one billion, eight hundred twenty-eight million, ten thousand, seven hundred fifty-two".