21260886400 has 192 divisors, whose sum is σ = 57634279920. Its totient is φ = 7701258240.

The previous prime is 21260886389. The next prime is 21260886407. The reversal of 21260886400 is 468806212.

It is a self number, because there is not a number n which added to its sum of digits gives 21260886400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21260886407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2199979 + ... + 2209621.

Almost surely, 2^21260886400 is an apocalyptic number.

21260886400 is a gapful number since it is divisible by the number (20) 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 21260886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28817139960).

21260886400 is an abundant number, since it is smaller than the sum of its proper divisors (36373393520).

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

21260886400 is a wasteful number, since it uses less digits than its factorization.

21260886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733 (or 9716 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 21260886400 in words is "twenty-one billion, two hundred sixty million, eight hundred eighty-six thousand, four hundred".