21421135622952 has 192 divisors, whose sum is σ = 62665208686080. Its totient is φ = 6571413259776.

The previous prime is 21421135622921. The next prime is 21421135622969. The reversal of 21421135622952 is 25922653112412.

21421135622952 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 1 + 1 + 356 + 2 + 295 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21421135622898 and 21421135622907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1440843823 + ... + 1440858689.

It is an arithmetic number, because the mean of its divisors is an integer number (326381295240).

Almost surely, 2^{21421135622952} 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 21421135622952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31332604343040).

21421135622952 is an abundant number, since it is smaller than the sum of its proper divisors (41244073063128).

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

21421135622952 is a wasteful number, since it uses less digits than its factorization.

21421135622952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19392 (or 19385 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 21421135622952 in words is "twenty-one trillion, four hundred twenty-one billion, one hundred thirty-five million, six hundred twenty-two thousand, nine hundred fifty-two".