20574984960 has 432 divisors, whose sum is σ = 76403003040. Its totient is φ = 5295144960.

The previous prime is 20574984929. The next prime is 20574984967. The reversal of 20574984960 is 6948947502.

20574984960 is a `hidden beast` number, since 2 + 0 + 57 + 498 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×20574984960² (a number of 21 digits) contains 22 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 = 20574984897 and 20574984906.

It is not an unprimeable number, because it can be changed into a prime (20574984967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9019020 + ... + 9021300.

Almost surely, 2^20574984960 is an apocalyptic number.

20574984960 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 20574984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38201501520).

20574984960 is an abundant number, since it is smaller than the sum of its proper divisors (55828018080).

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

20574984960 is an equidigital number, since it uses as much as digits as its factorization.

20574984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2320 counting only the distinct ones).

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

The spelling of 20574984960 in words is "twenty billion, five hundred seventy-four million, nine hundred eighty-four thousand, nine hundred sixty".