21049607579616 has 576 divisors, whose sum is σ = 75997675353600. Its totient is φ = 5367516364800.

The previous prime is 21049607579599. The next prime is 21049607579617. The reversal of 21049607579616 is 61697570694012.

21049607579616 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 9 + 6 + 0 + 7 + 5 + 7 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21049607579617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1006136836 + ... + 1006157756.

It is an arithmetic number, because the mean of its divisors is an integer number (131940408600).

Almost surely, 2^{21049607579616} 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 21049607579616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37998837676800).

21049607579616 is an abundant number, since it is smaller than the sum of its proper divisors (54948067773984).

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

21049607579616 is a wasteful number, since it uses less digits than its factorization.

21049607579616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21783 (or 21772 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 21049607579616 in words is "twenty-one trillion, forty-nine billion, six hundred seven million, five hundred seventy-nine thousand, six hundred sixteen".