125967496560 has 320 divisors, whose sum is σ = 415741248000. Its totient is φ = 31462649856.

The previous prime is 125967496517. The next prime is 125967496619. The reversal of 125967496560 is 65694769521.

It is a Cunningham number, because it is equal to 354919²-1.

It is a super-2 number, since 2×125967496560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 125967496494 and 125967496503.

It is a congruent number.

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, 269737447 + ... + 269737913.

It is an arithmetic number, because the mean of its divisors is an integer number (1299191400).

Almost surely, 2^125967496560 is an apocalyptic number.

125967496560 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 125967496560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207870624000).

125967496560 is an abundant number, since it is smaller than the sum of its proper divisors (289773751440).

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

125967496560 is a wasteful number, since it uses less digits than its factorization.

125967496560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 125967496560 in words is "one hundred twenty-five billion, nine hundred sixty-seven million, four hundred ninety-six thousand, five hundred sixty".