21519980615016 has 576 divisors, whose sum is σ = 68666553446400. Its totient is φ = 6047601868800.

The previous prime is 21519980614981. The next prime is 21519980615083. The reversal of 21519980615016 is 61051608991512.

It is a happy number.

21519980615016 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 9 + 9 + 8 + 0 + 615 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2118311745 + ... + 2118321903.

It is an arithmetic number, because the mean of its divisors is an integer number (119212766400).

Almost surely, 2^{21519980615016} is an apocalyptic number.

21519980615016 is a gapful number since it is divisible by the number (26) 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 21519980615016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34333276723200).

21519980615016 is an abundant number, since it is smaller than the sum of its proper divisors (47146572831384).

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

21519980615016 is a wasteful number, since it uses less digits than its factorization.

21519980615016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10450 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 21519980615016 in words is "twenty-one trillion, five hundred nineteen billion, nine hundred eighty million, six hundred fifteen thousand, sixteen".