21362536685952 has 768 divisors, whose sum is σ = 82806302592000. Its totient is φ = 5222298009600.

The previous prime is 21362536685927. The next prime is 21362536685953. The reversal of 21362536685952 is 25958663526312.

21362536685952 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 2 + 5 + 36 + 6 + 8 + 595 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21362536685952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21362536685953) 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, 73745877 + ... + 74034987.

It is an arithmetic number, because the mean of its divisors is an integer number (107820706500).

Almost surely, 2^{21362536685952} is an apocalyptic number.

21362536685952 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 21362536685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41403151296000).

21362536685952 is an abundant number, since it is smaller than the sum of its proper divisors (61443765906048).

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

21362536685952 is a wasteful number, since it uses less digits than its factorization.

21362536685952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289180 (or 289151 counting only the distinct ones).

The product of its digits is 139968000, while the sum is 63.

The spelling of 21362536685952 in words is "twenty-one trillion, three hundred sixty-two billion, five hundred thirty-six million, six hundred eighty-five thousand, nine hundred fifty-two".