23628253070268 has 720 divisors, whose sum is σ = 80137579804128. Its totient is φ = 6001236864000.

The previous prime is 23628253070267. The next prime is 23628253070269. The reversal of 23628253070268 is 86207035282632.

23628253070268 is a `hidden beast` number, since 2 + 3 + 6 + 2 + 82 + 530 + 7 + 0 + 26 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (23628253070267) and next prime (23628253070269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23628253070267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1842927298 + ... + 1842940118.

Almost surely, 2^{23628253070268} is an apocalyptic number.

23628253070268 is a gapful number since it is divisible by the number (28) 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 23628253070268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40068789902064).

23628253070268 is an abundant number, since it is smaller than the sum of its proper divisors (56509326733860).

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

23628253070268 is a wasteful number, since it uses less digits than its factorization.

23628253070268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13096 (or 13078 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 23628253070268 in words is "twenty-three trillion, six hundred twenty-eight billion, two hundred fifty-three million, seventy thousand, two hundred sixty-eight".