21258667467520 has 432 divisors, whose sum is σ = 61351863834240. Its totient is φ = 7028800192512.

The previous prime is 21258667467347. The next prime is 21258667467533. The reversal of 21258667467520 is 2576476685212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1595151097 + ... + 1595164423.

It is an arithmetic number, because the mean of its divisors is an integer number (142018203320).

Almost surely, 2^{21258667467520} is an apocalyptic number.

21258667467520 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 21258667467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30675931917120).

21258667467520 is an abundant number, since it is smaller than the sum of its proper divisors (40093196366720).

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

21258667467520 is a wasteful number, since it uses less digits than its factorization.

21258667467520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14268 (or 14247 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 61.

The spelling of 21258667467520 in words is "twenty-one trillion, two hundred fifty-eight billion, six hundred sixty-seven million, four hundred sixty-seven thousand, five hundred twenty".