21381180235776 has 448 divisors, whose sum is σ = 64641687490560. Its totient is φ = 7070189027328.

The previous prime is 21381180235741. The next prime is 21381180235817. The reversal of 21381180235776 is 67753208118312.

21381180235776 is a `hidden beast` number, since 2 + 1 + 38 + 1 + 18 + 0 + 23 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2275315110 + ... + 2275324506.

Almost surely, 2^{21381180235776} 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 21381180235776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32320843745280).

21381180235776 is an abundant number, since it is smaller than the sum of its proper divisors (43260507254784).

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

21381180235776 is an frugal number, since it uses more digits than its factorization.

21381180235776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9571 (or 9529 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 21381180235776 in words is "twenty-one trillion, three hundred eighty-one billion, one hundred eighty million, two hundred thirty-five thousand, seven hundred seventy-six".