20815530024960 has 1680 divisors, whose sum is σ = 86372270384400. Its totient is φ = 4778848419840.

The previous prime is 20815530024901. The next prime is 20815530025001. The reversal of 20815530024960 is 6942003551802.

20815530024960 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 5 + 530 + 0 + 24 + 96 + 0 = 666.

It is a super-2 number, since 2×20815530024960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7627528876 + ... + 7627531604.

It is an arithmetic number, because the mean of its divisors is an integer number (51412065705).

Almost surely, 2^{20815530024960} is an apocalyptic number.

20815530024960 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 20815530024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43186135192200).

20815530024960 is an abundant number, since it is smaller than the sum of its proper divisors (65556740359440).

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

20815530024960 is a wasteful number, since it uses less digits than its factorization.

20815530024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 20815530024960 in words is "twenty trillion, eight hundred fifteen billion, five hundred thirty million, twenty-four thousand, nine hundred sixty".