21319231752 has 672 divisors, whose sum is σ = 78921595200. Its totient is φ = 5253838848.

The previous prime is 21319231723. The next prime is 21319231757. The reversal of 21319231752 is 25713291312.

It is a happy number.

21319231752 is a `hidden beast` number, since 21 + 319 + 2 + 317 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21319231757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 153375699 + ... + 153375837.

It is an arithmetic number, because the mean of its divisors is an integer number (117442850).

Almost surely, 2^21319231752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21319231752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39460797600).

21319231752 is an abundant number, since it is smaller than the sum of its proper divisors (57602363448).

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

21319231752 is a wasteful number, since it uses less digits than its factorization.

21319231752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 181 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The spelling of 21319231752 in words is "twenty-one billion, three hundred nineteen million, two hundred thirty-one thousand, seven hundred fifty-two".