125781579000 has 1920 divisors, whose sum is σ = 579453937920. Its totient is φ = 25147584000.

The previous prime is 125781578977. The next prime is 125781579019. The reversal of 125781579000 is 975187521.

125781579000 is a `hidden beast` number, since 1 + 2 + 5 + 78 + 1 + 579 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1877336967 + ... + 1877337033.

It is an arithmetic number, because the mean of its divisors is an integer number (301798926).

Almost surely, 2^125781579000 is an apocalyptic number.

125781579000 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 125781579000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289726968960).

125781579000 is an abundant number, since it is smaller than the sum of its proper divisors (453672358920).

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

125781579000 is a wasteful number, since it uses less digits than its factorization.

125781579000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 125781579000 in words is "one hundred twenty-five billion, seven hundred eighty-one million, five hundred seventy-nine thousand".