126725964963840 has 1344 divisors, whose sum is σ = 503874950348160. Its totient is φ = 29967305932800.

The previous prime is 126725964963833. The next prime is 126725964963841. The reversal of 126725964963840 is 48369469527621.

126725964963840 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 2 + 5 + 96 + 496 + 3 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126725964963841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20449563622 + ... + 20449569818.

It is a 2-persistent number, because it is pandigital, and so is 2⋅126725964963840 = 253451929927680, but 3⋅126725964963840 = 380177894891520 is not.

Almost surely, 2^{126725964963840} is an apocalyptic number.

126725964963840 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 126725964963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251937475174080).

126725964963840 is an abundant number, since it is smaller than the sum of its proper divisors (377148985384320).

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

126725964963840 is an equidigital number, since it uses as much as digits as its factorization.

126725964963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 126725964963840 in words is "one hundred twenty-six trillion, seven hundred twenty-five billion, nine hundred sixty-four million, nine hundred sixty-three thousand, eight hundred forty".