126838601809920 has 6480 divisors, whose sum is σ = 646367328883584. Its totient is φ = 23543886643200.

The previous prime is 126838601809901. The next prime is 126838601809961. The reversal of 126838601809920 is 29908106838621.

126838601809920 is a `hidden beast` number, since 1 + 268 + 38 + 60 + 180 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4091567800305 + ... + 4091567800335.

Almost surely, 2^{126838601809920} is an apocalyptic number.

126838601809920 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 126838601809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323183664441792).

126838601809920 is an abundant number, since it is smaller than the sum of its proper divisors (519528727073664).

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

126838601809920 is an equidigital number, since it uses as much as digits as its factorization.

126838601809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 126838601809920 in words is "one hundred twenty-six trillion, eight hundred thirty-eight billion, six hundred one million, eight hundred nine thousand, nine hundred twenty".