21995753472 has 936 divisors, whose sum is σ = 85653221472. Its totient is φ = 5573836800.

The previous prime is 21995753441. The next prime is 21995753497. The reversal of 21995753472 is 27435759912.

21995753472 is a `hidden beast` number, since 2 + 19 + 95 + 7 + 534 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4762800) is a multiple of the sum of its prime factors (105).

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 71 ways as a sum of consecutive naturals, for example, 536481772 + ... + 536481812.

It is an arithmetic number, because the mean of its divisors is an integer number (91509852).

Almost surely, 2^21995753472 is an apocalyptic number.

21995753472 is a gapful number since it is divisible by the number (22) 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 21995753472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42826610736).

21995753472 is an abundant number, since it is smaller than the sum of its proper divisors (63657468000).

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

21995753472 is an equidigital number, since it uses as much as digits as its factorization.

21995753472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 21995753472 in words is "twenty-one billion, nine hundred ninety-five million, seven hundred fifty-three thousand, four hundred seventy-two".