20535748466688 has 1920 divisors, whose sum is σ = 79480569168000. Its totient is φ = 5136847994880.

The previous prime is 20535748466641. The next prime is 20535748466771. The reversal of 20535748466688 is 88666484753502.

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 159 ways as a sum of consecutive naturals, for example, 26704483968 + ... + 26704484736.

It is an arithmetic number, because the mean of its divisors is an integer number (41396129775).

Almost surely, 2^{20535748466688} is an apocalyptic number.

20535748466688 is a gapful number since it is divisible by the number (28) 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 20535748466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39740284584000).

20535748466688 is an abundant number, since it is smaller than the sum of its proper divisors (58944820701312).

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

20535748466688 is a wasteful number, since it uses less digits than its factorization.

20535748466688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 72.

The spelling of 20535748466688 in words is "twenty trillion, five hundred thirty-five billion, seven hundred forty-eight million, four hundred sixty-six thousand, six hundred eighty-eight".