21248590462000 has 1280 divisors, whose sum is σ = 63074874949632. Its totient is φ = 6832896000000.

The previous prime is 21248590461979. The next prime is 21248590462007. The reversal of 21248590462000 is 26409584212.

It is not an unprimeable number, because it can be changed into a prime (21248590462007) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 68323441845 + ... + 68323442155.

Almost surely, 2^{21248590462000} is an apocalyptic number.

21248590462000 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 21248590462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31537437474816).

21248590462000 is an abundant number, since it is smaller than the sum of its proper divisors (41826284487632).

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

21248590462000 is a wasteful number, since it uses less digits than its factorization.

21248590462000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 21248590462000 in words is "twenty-one trillion, two hundred forty-eight billion, five hundred ninety million, four hundred sixty-two thousand".