125719884000 has 768 divisors, whose sum is σ = 485707622400. Its totient is φ = 31497984000.

The previous prime is 125719883987. The next prime is 125719884013. The reversal of 125719884000 is 488917521.

125719884000 is a `hidden beast` number, since 1 + 2 + 57 + 198 + 8 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125719883987) and next prime (125719884013).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 404243845 + ... + 404244155.

It is an arithmetic number, because the mean of its divisors is an integer number (632431800).

Almost surely, 2^125719884000 is an apocalyptic number.

125719884000 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 125719884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242853811200).

125719884000 is an abundant number, since it is smaller than the sum of its proper divisors (359987738400).

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

125719884000 is a wasteful number, since it uses less digits than its factorization.

125719884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 125719884000 in words is "one hundred twenty-five billion, seven hundred nineteen million, eight hundred eighty-four thousand".