126093457906080 has 192 divisors, whose sum is σ = 454644625413888. Its totient is φ = 28776398192640.

The previous prime is 126093457906049. The next prime is 126093457906121. The reversal of 126093457906080 is 80609754390621.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 27119107 + ... + 31426626.

It is an arithmetic number, because the mean of its divisors is an integer number (2367940757364).

It is a 1-persistent number, because it is pandigital, but 2⋅126093457906080 = 252186915812160 is not.

Almost surely, 2^{126093457906080} is an apocalyptic number.

126093457906080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126093457906080 is an abundant number, since it is smaller than the sum of its proper divisors (328551167507808).

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

126093457906080 is a wasteful number, since it uses less digits than its factorization.

126093457906080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58546399 (or 58546391 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 126093457906080 in words is "one hundred twenty-six trillion, ninety-three billion, four hundred fifty-seven million, nine hundred six thousand, eighty".