126439027920 has 1280 divisors, whose sum is σ = 514252800000. Its totient is φ = 28356894720.

The previous prime is 126439027879. The next prime is 126439027987. The reversal of 126439027920 is 29720934621.

126439027920 is a `hidden beast` number, since 126 + 439 + 0 + 2 + 7 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 848584006 + ... + 848584154.

It is an arithmetic number, because the mean of its divisors is an integer number (401760000).

Almost surely, 2^126439027920 is an apocalyptic number.

126439027920 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 126439027920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400000).

126439027920 is an abundant number, since it is smaller than the sum of its proper divisors (387813772080).

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

126439027920 is a wasteful number, since it uses less digits than its factorization.

126439027920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 126439027920 in words is "one hundred twenty-six billion, four hundred thirty-nine million, twenty-seven thousand, nine hundred twenty".