125905788450 has 480 divisors, whose sum is σ = 401815282176. Its totient is φ = 28956579840.

The previous prime is 125905788409. The next prime is 125905788451. The reversal of 125905788450 is 54887509521.

125905788450 is a `hidden beast` number, since 1 + 2 + 590 + 5 + 7 + 8 + 8 + 45 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (125905788451) 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 239 ways as a sum of consecutive naturals, for example, 145892719 + ... + 145893581.

Almost surely, 2^125905788450 is an apocalyptic number.

125905788450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125905788450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200907641088).

125905788450 is an abundant number, since it is smaller than the sum of its proper divisors (275909493726).

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

125905788450 is a wasteful number, since it uses less digits than its factorization.

125905788450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 125905788450 in words is "one hundred twenty-five billion, nine hundred five million, seven hundred eighty-eight thousand, four hundred fifty".