126768994560 has 1296 divisors, whose sum is σ = 524207633040. Its totient is φ = 28075622400.

The previous prime is 126768994549. The next prime is 126768994603. The reversal of 126768994560 is 65499867621.

126768994560 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 68 + 9 + 9 + 4 + 560 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 24082073856 + 102686920704 = 155184^2 + 320448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1255138510 + ... + 1255138610.

Almost surely, 2^126768994560 is an apocalyptic number.

126768994560 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 126768994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262103816520).

126768994560 is an abundant number, since it is smaller than the sum of its proper divisors (397438638480).

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

126768994560 is a wasteful number, since it uses less digits than its factorization.

126768994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 126768994560 in words is "one hundred twenty-six billion, seven hundred sixty-eight million, nine hundred ninety-four thousand, five hundred sixty".