21085736023548 has 288 divisors, whose sum is σ = 63532549656576. Its totient is φ = 5771044371456.

The previous prime is 21085736023519. The next prime is 21085736023579. The reversal of 21085736023548 is 84532063758012.

21085736023548 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 5 + 7 + 360 + 235 + 48 = 666.

21085736023548 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 21085736023494 and 21085736023503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1818827640 + ... + 1818839232.

It is an arithmetic number, because the mean of its divisors is an integer number (220599130752).

Almost surely, 2^{21085736023548} is an apocalyptic number.

21085736023548 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 21085736023548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31766274828288).

21085736023548 is an abundant number, since it is smaller than the sum of its proper divisors (42446813633028).

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

21085736023548 is a wasteful number, since it uses less digits than its factorization.

21085736023548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14873 (or 14868 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 21085736023548 in words is "twenty-one trillion, eighty-five billion, seven hundred thirty-six million, twenty-three thousand, five hundred forty-eight".