23255791640640 has 1344 divisors, whose sum is σ = 92939308761600. Its totient is φ = 5461496561664.

The previous prime is 23255791640611. The next prime is 23255791640789. The reversal of 23255791640640 is 4604619755232.

It is a happy number.

23255791640640 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 579 + 1 + 6 + 4 + 0 + 64 + 0 = 666.

It is a super-2 number, since 2×23255791640640² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19109113312 + ... + 19109114528.

It is an arithmetic number, because the mean of its divisors is an integer number (69151271400).

Almost surely, 2^{23255791640640} is an apocalyptic number.

23255791640640 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 23255791640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46469654380800).

23255791640640 is an abundant number, since it is smaller than the sum of its proper divisors (69683517120960).

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

23255791640640 is a wasteful number, since it uses less digits than its factorization.

23255791640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 23255791640640 in words is "twenty-three trillion, two hundred fifty-five billion, seven hundred ninety-one million, six hundred forty thousand, six hundred forty".