126468262752 has 192 divisors, whose sum is σ = 361230819264. Its totient is φ = 38511083520.

The previous prime is 126468262699. The next prime is 126468262799. The reversal of 126468262752 is 257262864621.

It is a super-2 number, since 2×126468262752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126468262695 and 126468262704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55056868 + ... + 55059164.

It is an arithmetic number, because the mean of its divisors is an integer number (1881410517).

Almost surely, 2^126468262752 is an apocalyptic number.

126468262752 is a gapful number since it is divisible by the number (12) 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 126468262752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180615409632).

126468262752 is an abundant number, since it is smaller than the sum of its proper divisors (234762556512).

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

126468262752 is a wasteful number, since it uses less digits than its factorization.

126468262752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2753 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 126468262752 in words is "one hundred twenty-six billion, four hundred sixty-eight million, two hundred sixty-two thousand, seven hundred fifty-two".