21168750264480 has 864 divisors, whose sum is σ = 90687217420800. Its totient is φ = 4456956801024.

The previous prime is 21168750264461. The next prime is 21168750264539. The reversal of 21168750264480 is 8446205786112.

21168750264480 is a `hidden beast` number, since 2 + 1 + 16 + 8 + 7 + 502 + 6 + 44 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 439353031 + ... + 439401209.

It is an arithmetic number, because the mean of its divisors is an integer number (104962057200).

Almost surely, 2^{21168750264480} is an apocalyptic number.

21168750264480 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 21168750264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45343608710400).

21168750264480 is an abundant number, since it is smaller than the sum of its proper divisors (69518467156320).

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

21168750264480 is a wasteful number, since it uses less digits than its factorization.

21168750264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48706 (or 48688 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 21168750264480 in words is "twenty-one trillion, one hundred sixty-eight billion, seven hundred fifty million, two hundred sixty-four thousand, four hundred eighty".