20580164640 has 1536 divisors, whose sum is σ = 95800320000. Its totient is φ = 4096770048.

The previous prime is 20580164617. The next prime is 20580164699. The reversal of 20580164640 is 4646108502.

20580164640 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 0 + 1 + 6 + 4 + 640 = 666.

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

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 20580164595 and 20580164604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 478608459 + ... + 478608501.

It is an arithmetic number, because the mean of its divisors is an integer number (62370000).

Almost surely, 2^20580164640 is an apocalyptic number.

20580164640 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 20580164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160000).

20580164640 is an abundant number, since it is smaller than the sum of its proper divisors (75220155360).

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

20580164640 is a wasteful number, since it uses less digits than its factorization.

20580164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20580164640 in words is "twenty billion, five hundred eighty million, one hundred sixty-four thousand, six hundred forty".