126372868397568 has 960 divisors, whose sum is σ = 426032294688000. Its totient is φ = 35722879303680.

The previous prime is 126372868397543. The next prime is 126372868397623. The reversal of 126372868397568 is 865793868273621.

126372868397568 is a `hidden beast` number, since 1 + 2 + 6 + 372 + 86 + 83 + 97 + 5 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13096986408 + ... + 13096996056.

It is an arithmetic number, because the mean of its divisors is an integer number (443783640300).

Almost surely, 2^{126372868397568} is an apocalyptic number.

126372868397568 is a gapful number since it is divisible by the number (18) 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 126372868397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213016147344000).

126372868397568 is an abundant number, since it is smaller than the sum of its proper divisors (299659426290432).

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

126372868397568 is a wasteful number, since it uses less digits than its factorization.

126372868397568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10053 (or 10034 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 81.

The spelling of 126372868397568 in words is "one hundred twenty-six trillion, three hundred seventy-two billion, eight hundred sixty-eight million, three hundred ninety-seven thousand, five hundred sixty-eight".