21519493632 has 960 divisors, whose sum is σ = 83768805120. Its totient is φ = 5159780352.

The previous prime is 21519493627. The next prime is 21519493637. The reversal of 21519493632 is 23639491512.

21519493632 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 9 + 4 + 9 + 3 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (21519493627) and next prime (21519493637).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (21519493637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294787548 + ... + 294787620.

It is an arithmetic number, because the mean of its divisors is an integer number (87259172).

Almost surely, 2^21519493632 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 21519493632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41884402560).

21519493632 is an abundant number, since it is smaller than the sum of its proper divisors (62249311488).

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

21519493632 is a wasteful number, since it uses less digits than its factorization.

21519493632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 21519493632 in words is "twenty-one billion, five hundred nineteen million, four hundred ninety-three thousand, six hundred thirty-two".