125991326664000 has 3584 divisors, whose sum is σ = 599081405644800. Its totient is φ = 25250227200000.

The previous prime is 125991326663987. The next prime is 125991326664011. The reversal of 125991326664000 is 466623199521.

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 511 ways as a sum of consecutive naturals, for example, 20483060925 + ... + 20483067075.

Almost surely, 2^{125991326664000} is an apocalyptic number.

125991326664000 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 125991326664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299540702822400).

125991326664000 is an abundant number, since it is smaller than the sum of its proper divisors (473090078980800).

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

125991326664000 is a wasteful number, since it uses less digits than its factorization.

125991326664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6267 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 125991326664000 in words is "one hundred twenty-five trillion, nine hundred ninety-one billion, three hundred twenty-six million, six hundred sixty-four thousand".