13223525732640 has 768 divisors, whose sum is σ = 49056912576000. Its totient is φ = 3317547663360.

The previous prime is 13223525732597. The next prime is 13223525732663. The reversal of 13223525732640 is 4623752532231.

13223525732640 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 52 + 573 + 26 + 4 + 0 = 666.

It is a super-2 number, since 2×13223525732640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8880809016 + ... + 8880810504.

It is an arithmetic number, because the mean of its divisors is an integer number (63876188250).

Almost surely, 2^{13223525732640} is an apocalyptic number.

13223525732640 is a gapful number since it is divisible by the number (10) 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 13223525732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24528456288000).

13223525732640 is an abundant number, since it is smaller than the sum of its proper divisors (35833386843360).

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

13223525732640 is a wasteful number, since it uses less digits than its factorization.

13223525732640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 13223525732640 in words is "thirteen trillion, two hundred twenty-three billion, five hundred twenty-five million, seven hundred thirty-two thousand, six hundred forty".