126075676898304 has 352 divisors, whose sum is σ = 449173137945600. Its totient is φ = 34125746135040.

The previous prime is 126075676898291. The next prime is 126075676898377. The reversal of 126075676898304 is 403898676570621.

126075676898304 is a `hidden beast` number, since 1 + 2 + 607 + 5 + 6 + 7 + 6 + 8 + 9 + 8 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13465782 + ... + 20820149.

It is a 1-persistent number, because it is pandigital, but 2⋅126075676898304 = 252151353796608 is not.

Almost surely, 2^{126075676898304} is an apocalyptic number.

126075676898304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

126075676898304 is an abundant number, since it is smaller than the sum of its proper divisors (323097461047296).

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

126075676898304 is a wasteful number, since it uses less digits than its factorization.

126075676898304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34285986 (or 34285962 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 126075676898304 in words is "one hundred twenty-six trillion, seventy-five billion, six hundred seventy-six million, eight hundred ninety-eight thousand, three hundred four".