125720985600 has 1296 divisors, whose sum is σ = 555848017200. Its totient is φ = 27745320960.

The previous prime is 125720985587. The next prime is 125720985641. The reversal of 125720985600 is 6589027521.

125720985600 is a `hidden beast` number, since 12 + 5 + 7 + 20 + 9 + 8 + 5 + 600 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4335206386 + ... + 4335206414.

It is an arithmetic number, because the mean of its divisors is an integer number (428895075).

Almost surely, 2^125720985600 is an apocalyptic number.

125720985600 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 125720985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277924008600).

125720985600 is an abundant number, since it is smaller than the sum of its proper divisors (430127031600).

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

125720985600 is an frugal number, since it uses more digits than its factorization.

125720985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 125720985600 in words is "one hundred twenty-five billion, seven hundred twenty million, nine hundred eighty-five thousand, six hundred".