125756167680 has 800 divisors, whose sum is σ = 529288185888. Its totient is φ = 28134604800.

The previous prime is 125756167637. The next prime is 125756167687. The reversal of 125756167680 is 86761657521.

It is a happy number.

125756167680 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 561 + 6 + 76 + 8 + 0 = 666.

It is a super-2 number, since 2×125756167680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125756167687) 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 79 ways as a sum of consecutive naturals, for example, 29650360 + ... + 29654600.

Almost surely, 2^125756167680 is an apocalyptic number.

125756167680 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 125756167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264644092944).

125756167680 is an abundant number, since it is smaller than the sum of its proper divisors (403532018208).

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

125756167680 is a wasteful number, since it uses less digits than its factorization.

125756167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 125756167680 in words is "one hundred twenty-five billion, seven hundred fifty-six million, one hundred sixty-seven thousand, six hundred eighty".