126368335872 has 336 divisors, whose sum is σ = 386228753820. Its totient is φ = 41302130688.

The previous prime is 126368335871. The next prime is 126368335883. The reversal of 126368335872 is 278533863621.

It is a happy number.

126368335872 is a `hidden beast` number, since 1 + 26 + 3 + 6 + 8 + 33 + 587 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126098850816 + 269485056 = 355104^2 + 16416^2 .

It is a super-2 number, since 2×126368335872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (126368335871) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 79127778 + ... + 79129374.

Almost surely, 2^126368335872 is an apocalyptic number.

126368335872 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 126368335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193114376910).

126368335872 is an abundant number, since it is smaller than the sum of its proper divisors (259860417948).

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

126368335872 is an frugal number, since it uses more digits than its factorization.

126368335872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1655 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 126368335872 in words is "one hundred twenty-six billion, three hundred sixty-eight million, three hundred thirty-five thousand, eight hundred seventy-two".