21828459510 has 768 divisors, whose sum is σ = 76422528000. Its totient is φ = 4233461760.

The previous prime is 21828459509. The next prime is 21828459533. The reversal of 21828459510 is 1595482812.

21828459510 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 84 + 59 + 510 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 245263546 + ... + 245263634.

It is an arithmetic number, because the mean of its divisors is an integer number (99508500).

Almost surely, 2^21828459510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21828459510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38211264000).

21828459510 is an abundant number, since it is smaller than the sum of its proper divisors (54594068490).

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

21828459510 is a wasteful number, since it uses less digits than its factorization.

21828459510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 21828459510 in words is "twenty-one billion, eight hundred twenty-eight million, four hundred fifty-nine thousand, five hundred ten".