125823571776 has 448 divisors, whose sum is σ = 438199336960. Its totient is φ = 34644879360.

The previous prime is 125823571763. The next prime is 125823571777. The reversal of 125823571776 is 677175328521.

125823571776 is a `hidden beast` number, since 1 + 2 + 582 + 3 + 57 + 1 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125823571777) 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 63 ways as a sum of consecutive naturals, for example, 115117086 + ... + 115118178.

It is an arithmetic number, because the mean of its divisors is an integer number (978123520).

Almost surely, 2^125823571776 is an apocalyptic number.

125823571776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125823571776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219099668480).

125823571776 is an abundant number, since it is smaller than the sum of its proper divisors (312375765184).

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

125823571776 is a wasteful number, since it uses less digits than its factorization.

125823571776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1443 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The spelling of 125823571776 in words is "one hundred twenty-five billion, eight hundred twenty-three million, five hundred seventy-one thousand, seven hundred seventy-six".