21519203328 has 264 divisors, whose sum is σ = 74105461248. Its totient is φ = 5880619008.

The previous prime is 21519203317. The next prime is 21519203333. The reversal of 21519203328 is 82330291512.

It is a super-2 number, since 2×21519203328² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21519203292 and 21519203301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1476525 + ... + 1491027.

Almost surely, 2^21519203328 is an apocalyptic number.

21519203328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21519203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37052730624).

21519203328 is an abundant number, since it is smaller than the sum of its proper divisors (52586257920).

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

21519203328 is a wasteful number, since it uses less digits than its factorization.

21519203328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14559 (or 14538 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 21519203328 in words is "twenty-one billion, five hundred nineteen million, two hundred three thousand, three hundred twenty-eight".