20615430528000 has 7040 divisors, whose sum is σ = 106829582745600. Its totient is φ = 3901685760000.

The previous prime is 20615430527999. The next prime is 20615430528023. The reversal of 20615430528000 is 82503451602.

20615430528000 is a `hidden beast` number, since 2 + 0 + 61 + 543 + 0 + 52 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 665013887985 + ... + 665013888015.

It is an arithmetic number, because the mean of its divisors is an integer number (15174656640).

Almost surely, 2^{20615430528000} is an apocalyptic number.

20615430528000 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 20615430528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53414791372800).

20615430528000 is an abundant number, since it is smaller than the sum of its proper divisors (86214152217600).

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

20615430528000 is a wasteful number, since it uses less digits than its factorization.

20615430528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 20615430528000 its reverse (82503451602), we get a palindrome (20697933979602).

The spelling of 20615430528000 in words is "twenty trillion, six hundred fifteen billion, four hundred thirty million, five hundred twenty-eight thousand".