126057007728 has 320 divisors, whose sum is σ = 379891875840. Its totient is φ = 39974860800.

The previous prime is 126057007721. The next prime is 126057007789. The reversal of 126057007728 is 827700750621.

126057007728 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 570 + 0 + 7 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126057007721) 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, 233007138 + ... + 233007678.

It is an arithmetic number, because the mean of its divisors is an integer number (1187162112).

Almost surely, 2^126057007728 is an apocalyptic number.

126057007728 is a gapful number since it is divisible by the number (18) 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 126057007728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189945937920).

126057007728 is an abundant number, since it is smaller than the sum of its proper divisors (253834868112).

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

126057007728 is a wasteful number, since it uses less digits than its factorization.

126057007728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 126057007728 in words is "one hundred twenty-six billion, fifty-seven million, seven thousand, seven hundred twenty-eight".