21205473760 has 96 divisors (see below), whose sum is σ = 52658932032. Its totient is φ = 8053985280.

The previous prime is 21205473743. The next prime is 21205473767. The reversal of 21205473760 is 6737450212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21205473767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483130 + ... + 525190.

It is an arithmetic number, because the mean of its divisors is an integer number (548530542).

Almost surely, 2^21205473760 is an apocalyptic number.

21205473760 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 21205473760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26329466016).

21205473760 is an abundant number, since it is smaller than the sum of its proper divisors (31453458272).

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

21205473760 is a wasteful number, since it uses less digits than its factorization.

21205473760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42236 (or 42228 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 21205473760 in words is "twenty-one billion, two hundred five million, four hundred seventy-three thousand, seven hundred sixty".