21618960048 has 320 divisors, whose sum is σ = 73950822400. Its totient is φ = 5916913920.

The previous prime is 21618959983. The next prime is 21618960053. The reversal of 21618960048 is 84006981612.

21618960048 is a `hidden beast` number, since 21 + 6 + 18 + 9 + 600 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21618959985 and 21618960012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9654513 + ... + 9656751.

It is an arithmetic number, because the mean of its divisors is an integer number (231096320).

Almost surely, 2^21618960048 is an apocalyptic number.

21618960048 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 21618960048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36975411200).

21618960048 is an abundant number, since it is smaller than the sum of its proper divisors (52331862352).

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

21618960048 is a wasteful number, since it uses less digits than its factorization.

21618960048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 21618960048 in words is "twenty-one billion, six hundred eighteen million, nine hundred sixty thousand, forty-eight".