125553324768 has 192 divisors, whose sum is σ = 351804902400. Its totient is φ = 39140075520.

The previous prime is 125553324763. The next prime is 125553324791. The reversal of 125553324768 is 867423355521.

It is a self number, because there is not a number n which added to its sum of digits gives 125553324768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125553324763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11651223 + ... + 11661993.

It is an arithmetic number, because the mean of its divisors is an integer number (1832317200).

Almost surely, 2^125553324768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125553324768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175902451200).

125553324768 is an abundant number, since it is smaller than the sum of its proper divisors (226251577632).

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

125553324768 is a wasteful number, since it uses less digits than its factorization.

125553324768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10945 (or 10937 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 51.

The spelling of 125553324768 in words is "one hundred twenty-five billion, five hundred fifty-three million, three hundred twenty-four thousand, seven hundred sixty-eight".