125624610720 has 480 divisors, whose sum is σ = 512411961600. Its totient is φ = 28389740544.

The previous prime is 125624610691. The next prime is 125624610721. The reversal of 125624610720 is 27016426521.

It is a happy number.

125624610720 is a `hidden beast` number, since 1 + 2 + 5 + 624 + 6 + 1 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (125624610721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8066301 + ... + 8081859.

It is an arithmetic number, because the mean of its divisors is an integer number (1067524920).

Almost surely, 2^125624610720 is an apocalyptic number.

125624610720 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 125624610720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256205980800).

125624610720 is an abundant number, since it is smaller than the sum of its proper divisors (386787350880).

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

125624610720 is a wasteful number, since it uses less digits than its factorization.

125624610720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15682 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 125624610720 in words is "one hundred twenty-five billion, six hundred twenty-four million, six hundred ten thousand, seven hundred twenty".