125793162000 has 800 divisors, whose sum is σ = 502990735104. Its totient is φ = 30046464000.

The previous prime is 125793161987. The next prime is 125793162037. The reversal of 125793162000 is 261397521.

125793162000 is a `hidden beast` number, since 1 + 25 + 7 + 9 + 3 + 1 + 620 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 130085517 + ... + 130086483.

Almost surely, 2^125793162000 is an apocalyptic number.

125793162000 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 125793162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251495367552).

125793162000 is an abundant number, since it is smaller than the sum of its proper divisors (377197573104).

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

125793162000 is a wasteful number, since it uses less digits than its factorization.

125793162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 125793162000 in words is "one hundred twenty-five billion, seven hundred ninety-three million, one hundred sixty-two thousand".