20745953280 has 840 divisors, whose sum is σ = 82711279332. Its totient is φ = 4968677376.

The previous prime is 20745953273. The next prime is 20745953297. The reversal of 20745953280 is 8235954702.

20745953280 is a `hidden beast` number, since 20 + 7 + 4 + 595 + 32 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5693607936 + 15052345344 = 75456^2 + 122688^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 560701422 + ... + 560701458.

Almost surely, 2^20745953280 is an apocalyptic number.

20745953280 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 20745953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41355639666).

20745953280 is an abundant number, since it is smaller than the sum of its proper divisors (61965326052).

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

20745953280 is an equidigital number, since it uses as much as digits as its factorization.

20745953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 20745953280 in words is "twenty billion, seven hundred forty-five million, nine hundred fifty-three thousand, two hundred eighty".