20571096960 has 640 divisors, whose sum is σ = 78056732160. Its totient is φ = 5173217280.

The previous prime is 20571096919. The next prime is 20571096961. The reversal of 20571096960 is 6969017502.

It is a happy number.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20571096961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289733725 + ... + 289733795.

It is an arithmetic number, because the mean of its divisors is an integer number (121963644).

Almost surely, 2^20571096960 is an apocalyptic number.

20571096960 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 20571096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39028366080).

20571096960 is an abundant number, since it is smaller than the sum of its proper divisors (57485635200).

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

20571096960 is an frugal number, since it uses more digits than its factorization.

20571096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 20571096960 in words is "twenty billion, five hundred seventy-one million, ninety-six thousand, nine hundred sixty".