20032721280 has 1024 divisors, whose sum is σ = 85296153600. Its totient is φ = 4415938560.

The previous prime is 20032721279. The next prime is 20032721299. The reversal of 20032721280 is 8212723002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 298995807 + ... + 298995873.

It is an arithmetic number, because the mean of its divisors is an integer number (83297025).

Almost surely, 2^20032721280 is an apocalyptic number.

20032721280 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 20032721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42648076800).

20032721280 is an abundant number, since it is smaller than the sum of its proper divisors (65263432320).

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

20032721280 is a wasteful number, since it uses less digits than its factorization.

20032721280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 20032721280 in words is "twenty billion, thirty-two million, seven hundred twenty-one thousand, two hundred eighty".