20268459912960 has 2160 divisors, whose sum is σ = 89067802824000. Its totient is φ = 4379326414848.

The previous prime is 20268459912919. The next prime is 20268459912971. The reversal of 20268459912960 is 6921995486202.

20268459912960 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 8 + 459 + 91 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10399414066 + ... + 10399416014.

It is an arithmetic number, because the mean of its divisors is an integer number (41235093900).

Almost surely, 2^{20268459912960} is an apocalyptic number.

20268459912960 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 20268459912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44533901412000).

20268459912960 is an abundant number, since it is smaller than the sum of its proper divisors (68799342911040).

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

20268459912960 is a wasteful number, since it uses less digits than its factorization.

20268459912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 20268459912960 in words is "twenty trillion, two hundred sixty-eight billion, four hundred fifty-nine million, nine hundred twelve thousand, nine hundred sixty".