125678448000 has 768 divisors, whose sum is σ = 528574999680. Its totient is φ = 28016640000.

The previous prime is 125678447989. The next prime is 125678448001. The reversal of 125678448000 is 844876521.

125678448000 is a `hidden beast` number, since 1 + 2 + 567 + 8 + 4 + 4 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125678448001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41326480 + ... + 41329520.

Almost surely, 2^125678448000 is an apocalyptic number.

125678448000 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 125678448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264287499840).

125678448000 is an abundant number, since it is smaller than the sum of its proper divisors (402896551680).

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

125678448000 is a wasteful number, since it uses less digits than its factorization.

125678448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 125678448000 in words is "one hundred twenty-five billion, six hundred seventy-eight million, four hundred forty-eight thousand".