125967169440000 has 2700 divisors, whose sum is σ = 548667434941164. Its totient is φ = 28651843584000.

The previous prime is 125967169439957. The next prime is 125967169440011. The reversal of 125967169440000 is 44961769521.

125967169440000 is a `hidden beast` number, since 1 + 2 + 596 + 7 + 1 + 6 + 9 + 4 + 40 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 22790006636544 + 103177162803456 = 4773888^2 + 10157616^2 .

It is a tau number, because it is divible by the number of its divisors (2700).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 186066719662 + ... + 186066720338.

Almost surely, 2^{125967169440000} is an apocalyptic number.

125967169440000 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 125967169440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274333717470582).

125967169440000 is an abundant number, since it is smaller than the sum of its proper divisors (422700265501164).

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

125967169440000 is an frugal number, since it uses more digits than its factorization.

125967169440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 125967169440000 in words is "one hundred twenty-five trillion, nine hundred sixty-seven billion, one hundred sixty-nine million, four hundred forty thousand".