125435306384400 has 60 divisors (see below), whose sum is σ = 401811098121872. Its totient is φ = 33449415035520.

The previous prime is 125435306384363. The next prime is 125435306384407. The reversal of 125435306384400 is 4483603534521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 125435306384400.

It is not an unprimeable number, because it can be changed into a prime (125435306384407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52264709794 + ... + 52264712193.

Almost surely, 2^{125435306384400} is an apocalyptic number.

125435306384400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125435306384400 is an abundant number, since it is smaller than the sum of its proper divisors (276375791737472).

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

125435306384400 is a wasteful number, since it uses less digits than its factorization.

125435306384400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104529422008 (or 104529421997 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 125435306384400 in words is "one hundred twenty-five trillion, four hundred thirty-five billion, three hundred six million, three hundred eighty-four thousand, four hundred".