21050307877632 has 720 divisors, whose sum is σ = 66648354796800. Its totient is φ = 5877614223360.

The previous prime is 21050307877619. The next prime is 21050307877633. The reversal of 21050307877632 is 23677870305012.

It is not an unprimeable number, because it can be changed into a prime (21050307877633) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7904733133 + ... + 7904735795.

It is an arithmetic number, because the mean of its divisors is an integer number (92567159440).

Almost surely, 2^{21050307877632} is an apocalyptic number.

21050307877632 is a gapful number since it is divisible by the number (22) 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 21050307877632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33324177398400).

21050307877632 is an abundant number, since it is smaller than the sum of its proper divisors (45598046919168).

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

21050307877632 is an equidigital number, since it uses as much as digits as its factorization.

21050307877632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 21050307877632 in words is "twenty-one trillion, fifty billion, three hundred seven million, eight hundred seventy-seven thousand, six hundred thirty-two".