20415069534960 has 640 divisors, whose sum is σ = 74734702387200. Its totient is φ = 5113228861440.

The previous prime is 20415069534919. The next prime is 20415069534973. The reversal of 20415069534960 is 6943596051402.

20415069534960 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 506 + 95 + 3 + 49 + 6 + 0 = 666.

It is a super-3 number, since 3×20415069534960³ (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20415069534897 and 20415069534906.

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, 1013295607 + ... + 1013315753.

It is an arithmetic number, because the mean of its divisors is an integer number (116772972480).

Almost surely, 2^{20415069534960} is an apocalyptic number.

20415069534960 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 20415069534960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37367351193600).

20415069534960 is an abundant number, since it is smaller than the sum of its proper divisors (54319632852240).

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

20415069534960 is a wasteful number, since it uses less digits than its factorization.

20415069534960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20646 (or 20634 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 20415069534960 in words is "twenty trillion, four hundred fifteen billion, sixty-nine million, five hundred thirty-four thousand, nine hundred sixty".