125226758880 has 144 divisors (see below), whose sum is σ = 427554560160. Its totient is φ = 33376748544.

The previous prime is 125226758879. The next prime is 125226758941. The reversal of 125226758880 is 88857622521.

125226758880 is a `hidden beast` number, since 1 + 2 + 52 + 2 + 6 + 7 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×125226758880² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2935141 + ... + 2977499.

It is an arithmetic number, because the mean of its divisors is an integer number (2969128890).

Almost surely, 2^125226758880 is an apocalyptic number.

125226758880 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 125226758880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213777280080).

125226758880 is an abundant number, since it is smaller than the sum of its proper divisors (302327801280).

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

125226758880 is a wasteful number, since it uses less digits than its factorization.

125226758880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44433 (or 44422 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 125226758880 in words is "one hundred twenty-five billion, two hundred twenty-six million, seven hundred fifty-eight thousand, eight hundred eighty".