125938518805 has 192 divisors, whose sum is σ = 194844787200. Its totient is φ = 77491814400.

The previous prime is 125938518803. The next prime is 125938518817. The reversal of 125938518805 is 508815839521.

It is not a de Polignac number, because 125938518805 - 2¹ = 125938518803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125938518803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 402359329 + ... + 402359641.

It is an arithmetic number, because the mean of its divisors is an integer number (1014816600).

Almost surely, 2^125938518805 is an apocalyptic number.

It is an amenable number.

125938518805 is a deficient number, since it is larger than the sum of its proper divisors (68906268395).

125938518805 is a wasteful number, since it uses less digits than its factorization.

125938518805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 55.

The spelling of 125938518805 in words is "one hundred twenty-five billion, nine hundred thirty-eight million, five hundred eighteen thousand, eight hundred five".