20535188520960 has 1728 divisors, whose sum is σ = 81029617643520. Its totient is φ = 4783519825920.

The previous prime is 20535188520943. The next prime is 20535188521009. The reversal of 20535188520960 is 6902588153502.

It is a happy number.

20535188520960 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 51 + 8 + 8 + 520 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20535188520897 and 20535188520906.

It is a congruent number.

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, 79903457152 + ... + 79903457408.

It is an arithmetic number, because the mean of its divisors is an integer number (46892139840).

Almost surely, 2^{20535188520960} is an apocalyptic number.

20535188520960 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 20535188520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40514808821760).

20535188520960 is an abundant number, since it is smaller than the sum of its proper divisors (60494429122560).

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

20535188520960 is a wasteful number, since it uses less digits than its factorization.

20535188520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 20535188520960 in words is "twenty trillion, five hundred thirty-five billion, one hundred eighty-eight million, five hundred twenty thousand, nine hundred sixty".