126728408250 has 160 divisors (see below), whose sum is σ = 375236381520. Its totient is φ = 31806259200.

The previous prime is 126728408249. The next prime is 126728408273. The reversal of 126728408250 is 52804827621.

126728408250 is a `hidden beast` number, since 126 + 72 + 8 + 408 + 2 + 50 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 239351841 + 126489056409 = 15471^2 + 355653^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 126728408196 and 126728408205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 160186 + ... + 528314.

Almost surely, 2^126728408250 is an apocalyptic number.

126728408250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126728408250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187618190760).

126728408250 is an abundant number, since it is smaller than the sum of its proper divisors (248507973270).

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

126728408250 is a wasteful number, since it uses less digits than its factorization.

126728408250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368175 (or 368156 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 126728408250 in words is "one hundred twenty-six billion, seven hundred twenty-eight million, four hundred eight thousand, two hundred fifty".