21248563708080 has 480 divisors, whose sum is σ = 81788151384000. Its totient is φ = 5052286918656.

The previous prime is 21248563708003. The next prime is 21248563708111. The reversal of 21248563708080 is 8080736584212.

21248563708080 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 8 + 563 + 70 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12454446 + ... + 14057394.

It is an arithmetic number, because the mean of its divisors is an integer number (170391982050).

Almost surely, 2^{21248563708080} is an apocalyptic number.

21248563708080 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 21248563708080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40894075692000).

21248563708080 is an abundant number, since it is smaller than the sum of its proper divisors (60539587675920).

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

21248563708080 is a wasteful number, since it uses less digits than its factorization.

21248563708080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603026 (or 1602995 counting only the distinct ones).

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

The spelling of 21248563708080 in words is "twenty-one trillion, two hundred forty-eight billion, five hundred sixty-three million, seven hundred eight thousand, eighty".