125779532544 has 648 divisors, whose sum is σ = 413492631552. Its totient is φ = 36673781760.

The previous prime is 125779532513. The next prime is 125779532573. The reversal of 125779532544 is 445235977521.

125779532544 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 7 + 95 + 3 + 2 + 544 = 666.

It is a super-2 number, since 2×125779532544² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 658531489 + ... + 658531679.

Almost surely, 2^125779532544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125779532544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206746315776).

125779532544 is an abundant number, since it is smaller than the sum of its proper divisors (287713099008).

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

125779532544 is a wasteful number, since it uses less digits than its factorization.

125779532544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 279 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 125779532544 in words is "one hundred twenty-five billion, seven hundred seventy-nine million, five hundred thirty-two thousand, five hundred forty-four".