5154106725768 has 256 divisors, whose sum is σ = 17302861578240. Its totient is φ = 1235581056000.

The previous prime is 5154106725767. The next prime is 5154106725797. The reversal of 5154106725768 is 8675276014515.

It is a happy number.

It is a super-2 number, since 2×5154106725768² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5154106725767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341301418 + ... + 341316518.

It is an arithmetic number, because the mean of its divisors is an integer number (67589303040).

Almost surely, 2^{5154106725768} 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 5154106725768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651430789120).

5154106725768 is an abundant number, since it is smaller than the sum of its proper divisors (12148754852472).

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

5154106725768 is a wasteful number, since it uses less digits than its factorization.

5154106725768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29348 (or 29344 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 57.

The spelling of 5154106725768 in words is "five trillion, one hundred fifty-four billion, one hundred six million, seven hundred twenty-five thousand, seven hundred sixty-eight".