126116180280 has 640 divisors, whose sum is σ = 466759687680. Its totient is φ = 30403952640.

The previous prime is 126116180269. The next prime is 126116180317. The reversal of 126116180280 is 82081611621.

126116180280 is a `hidden beast` number, since 1 + 2 + 6 + 11 + 618 + 0 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 397842682 + ... + 397842998.

It is an arithmetic number, because the mean of its divisors is an integer number (729312012).

Almost surely, 2^126116180280 is an apocalyptic number.

126116180280 is a gapful number since it is divisible by the number (10) 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 126116180280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233379843840).

126116180280 is an abundant number, since it is smaller than the sum of its proper divisors (340643507400).

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

126116180280 is a wasteful number, since it uses less digits than its factorization.

126116180280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 126116180280 in words is "one hundred twenty-six billion, one hundred sixteen million, one hundred eighty thousand, two hundred eighty".