125643248640 has 1584 divisors, whose sum is σ = 572314474368. Its totient is φ = 24811536384.

The previous prime is 125643248629. The next prime is 125643248641. The reversal of 125643248640 is 46842346521.

125643248640 is a `hidden beast` number, since 1 + 2 + 564 + 3 + 2 + 4 + 86 + 4 + 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 (125643248641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1513774039 + ... + 1513774121.

Almost surely, 2^125643248640 is an apocalyptic number.

125643248640 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 125643248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286157237184).

125643248640 is an abundant number, since it is smaller than the sum of its proper divisors (446671225728).

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

125643248640 is a wasteful number, since it uses less digits than its factorization.

125643248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 125643248640 in words is "one hundred twenty-five billion, six hundred forty-three million, two hundred forty-eight thousand, six hundred forty".