21362307267840 has 576 divisors, whose sum is σ = 86665808259072. Its totient is φ = 4355164569600.

The previous prime is 21362307267827. The next prime is 21362307267859. The reversal of 21362307267840 is 4876270326312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14989455 + ... + 16352625.

It is an arithmetic number, because the mean of its divisors is an integer number (150461472672).

Almost surely, 2^{21362307267840} is an apocalyptic number.

21362307267840 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 21362307267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43332904129536).

21362307267840 is an abundant number, since it is smaller than the sum of its proper divisors (65303500991232).

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

21362307267840 is a wasteful number, since it uses less digits than its factorization.

21362307267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363266 (or 1363252 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 21362307267840 in words is "twenty-one trillion, three hundred sixty-two billion, three hundred seven million, two hundred sixty-seven thousand, eight hundred forty".