125067006720 has 576 divisors, whose sum is σ = 460184524800. Its totient is φ = 32544239616.

The previous prime is 125067006707. The next prime is 125067006731. The reversal of 125067006720 is 27600760521.

125067006720 is a `hidden beast` number, since 1 + 2 + 506 + 70 + 0 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120371961 + ... + 120372999.

Almost surely, 2^125067006720 is an apocalyptic number.

125067006720 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 125067006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230092262400).

125067006720 is an abundant number, since it is smaller than the sum of its proper divisors (335117518080).

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

125067006720 is an frugal number, since it uses more digits than its factorization.

125067006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 125067006720 in words is "one hundred twenty-five billion, sixty-seven million, six thousand, seven hundred twenty".