125848289952 has 1080 divisors, whose sum is σ = 499305280320. Its totient is φ = 30895603200.

The previous prime is 125848289927. The next prime is 125848289969. The reversal of 125848289952 is 259982848521.

125848289952 is a `hidden beast` number, since 1 + 25 + 8 + 482 + 89 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 125848289952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 291991177 + ... + 291991607.

It is an arithmetic number, because the mean of its divisors is an integer number (462319704).

Almost surely, 2^125848289952 is an apocalyptic number.

125848289952 is a gapful number since it is divisible by the number (12) 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 125848289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249652640160).

125848289952 is an abundant number, since it is smaller than the sum of its proper divisors (373456990368).

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

125848289952 is a wasteful number, since it uses less digits than its factorization.

125848289952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 473 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 125848289952 in words is "one hundred twenty-five billion, eight hundred forty-eight million, two hundred eighty-nine thousand, nine hundred fifty-two".