22738602216960 has 2560 divisors, whose sum is σ = 97286070435840. Its totient is φ = 4988862627840.

The previous prime is 22738602216949. The next prime is 22738602216961. The reversal of 22738602216960 is 6961220683722.

22738602216960 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 8 + 602 + 21 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×22738602216960² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22738602216897 and 22738602216906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22738602216961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 173577116095 + ... + 173577116225.

It is an arithmetic number, because the mean of its divisors is an integer number (38002371264).

Almost surely, 2^{22738602216960} is an apocalyptic number.

22738602216960 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 22738602216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48643035217920).

22738602216960 is an abundant number, since it is smaller than the sum of its proper divisors (74547468218880).

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

22738602216960 is an equidigital number, since it uses as much as digits as its factorization.

22738602216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 22738602216960 in words is "twenty-two trillion, seven hundred thirty-eight billion, six hundred two million, two hundred sixteen thousand, nine hundred sixty".