21248467952880 has 800 divisors, whose sum is σ = 77736779527680. Its totient is φ = 4800712734720.

The previous prime is 21248467952839. The next prime is 21248467952903. The reversal of 21248467952880 is 8825976484212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24910278534 + ... + 24910279386.

Almost surely, 2^{21248467952880} is an apocalyptic number.

21248467952880 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 21248467952880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38868389763840).

21248467952880 is an abundant number, since it is smaller than the sum of its proper divisors (56488311574800).

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

21248467952880 is a wasteful number, since it uses less digits than its factorization.

21248467952880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 66.

The spelling of 21248467952880 in words is "twenty-one trillion, two hundred forty-eight billion, four hundred sixty-seven million, nine hundred fifty-two thousand, eight hundred eighty".