125172903680 has 576 divisors, whose sum is σ = 356664591360. Its totient is φ = 41631744000.

The previous prime is 125172903679. The next prime is 125172903689. The reversal of 125172903680 is 86309271521.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125172903689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1239335630 + ... + 1239335730.

It is an arithmetic number, because the mean of its divisors is an integer number (619209360).

Almost surely, 2^125172903680 is an apocalyptic number.

125172903680 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 125172903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178332295680).

125172903680 is an abundant number, since it is smaller than the sum of its proper divisors (231491687680).

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

125172903680 is a wasteful number, since it uses less digits than its factorization.

125172903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 125172903680 in words is "one hundred twenty-five billion, one hundred seventy-two million, nine hundred three thousand, six hundred eighty".