125669955600 has 480 divisors, whose sum is σ = 514911488000. Its totient is φ = 28515525120.

The previous prime is 125669955581. The next prime is 125669955643. The reversal of 125669955600 is 6559966521.

125669955600 is a `hidden beast` number, since 1 + 25 + 6 + 6 + 9 + 9 + 5 + 5 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10502421 + ... + 10514379.

Almost surely, 2^125669955600 is an apocalyptic number.

125669955600 is a gapful number since it is divisible by the number (10) 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 125669955600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257455744000).

125669955600 is an abundant number, since it is smaller than the sum of its proper divisors (389241532400).

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

125669955600 is a wasteful number, since it uses less digits than its factorization.

125669955600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12132 (or 12115 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 125669955600 in words is "one hundred twenty-five billion, six hundred sixty-nine million, nine hundred fifty-five thousand, six hundred".