21737325722112 has 4800 divisors, whose sum is σ = 97103544975360. Its totient is φ = 4740548198400.

The previous prime is 21737325722051. The next prime is 21737325722113. The reversal of 21737325722112 is 21122752373712.

21737325722112 is a `hidden beast` number, since 2 + 1 + 7 + 3 + 73 + 2 + 572 + 2 + 1 + 1 + 2 = 666.

It is a super-3 number, since 3×21737325722112³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (493920) is a multiple of the sum of its prime factors (245).

It is not an unprimeable number, because it can be changed into a prime (21737325722113) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 171160044993 + ... + 171160045119.

Almost surely, 2^{21737325722112} is an apocalyptic number.

21737325722112 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 21737325722112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48551772487680).

21737325722112 is an abundant number, since it is smaller than the sum of its proper divisors (75366219253248).

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

21737325722112 is a wasteful number, since it uses less digits than its factorization.

21737325722112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 213 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 21737325722112 in words is "twenty-one trillion, seven hundred thirty-seven billion, three hundred twenty-five million, seven hundred twenty-two thousand, one hundred twelve".