20573688960 has 640 divisors, whose sum is σ = 81131371200. Its totient is φ = 4926873600.

The previous prime is 20573688953. The next prime is 20573689033. The reversal of 20573688960 is 6988637502.

It is a happy number.

20573688960 is a `hidden beast` number, since 2 + 0 + 573 + 6 + 8 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 20573688897 and 20573688906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62155995 + ... + 62156325.

Almost surely, 2^20573688960 is an apocalyptic number.

20573688960 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 20573688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40565685600).

20573688960 is an abundant number, since it is smaller than the sum of its proper divisors (60557682240).

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

20573688960 is a wasteful number, since it uses less digits than its factorization.

20573688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 20573688960 in words is "twenty billion, five hundred seventy-three million, six hundred eighty-eight thousand, nine hundred sixty".