21648785980752 has 640 divisors, whose sum is σ = 72780817443840. Its totient is φ = 6033678336000.

The previous prime is 21648785980709. The next prime is 21648785980771. The reversal of 21648785980752 is 25708958784612.

21648785980752 is a `hidden beast` number, since 2 + 1 + 6 + 487 + 8 + 5 + 98 + 0 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12492085678 + ... + 12492087410.

It is an arithmetic number, because the mean of its divisors is an integer number (113720027256).

Almost surely, 2^{21648785980752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21648785980752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36390408721920).

21648785980752 is an abundant number, since it is smaller than the sum of its proper divisors (51132031463088).

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

21648785980752 is a wasteful number, since it uses less digits than its factorization.

21648785980752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 21648785980752 in words is "twenty-one trillion, six hundred forty-eight billion, seven hundred eighty-five million, nine hundred eighty thousand, seven hundred fifty-two".