126460097257728 has 288 divisors, whose sum is σ = 382079566028160. Its totient is φ = 36810237542400.

The previous prime is 126460097257727. The next prime is 126460097257751. The reversal of 126460097257728 is 827752790064621.

It is a super-3 number, since 3×126460097257728³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (126460097257727) 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, 132501400 + ... + 133452392.

It is an arithmetic number, because the mean of its divisors is an integer number (1326665159820).

Almost surely, 2^{126460097257728} 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 126460097257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191039783014080).

126460097257728 is an abundant number, since it is smaller than the sum of its proper divisors (255619468770432).

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

126460097257728 is a wasteful number, since it uses less digits than its factorization.

126460097257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951745 (or 951731 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 66.

The spelling of 126460097257728 in words is "one hundred twenty-six trillion, four hundred sixty billion, ninety-seven million, two hundred fifty-seven thousand, seven hundred twenty-eight".