126873968868 has 384 divisors, whose sum is σ = 360557568000. Its totient is φ = 38483343360.

The previous prime is 126873968839. The next prime is 126873968911. The reversal of 126873968868 is 868869378621.

126873968868 is a `hidden beast` number, since 1 + 26 + 87 + 396 + 88 + 68 = 666.

Its product of digits (334430208) is a multiple of the sum of its prime divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 126873968796 and 126873968805.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 926087296 + ... + 926087432.

It is an arithmetic number, because the mean of its divisors is an integer number (938952000).

Almost surely, 2^126873968868 is an apocalyptic number.

126873968868 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 126873968868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180278784000).

126873968868 is an abundant number, since it is smaller than the sum of its proper divisors (233683599132).

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

126873968868 is a wasteful number, since it uses less digits than its factorization.

126873968868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 126873968868 in words is "one hundred twenty-six billion, eight hundred seventy-three million, nine hundred sixty-eight thousand, eight hundred sixty-eight".