125776677780 has 576 divisors, whose sum is σ = 435957500160. Its totient is φ = 29137231872.

The previous prime is 125776677779. The next prime is 125776677821. The reversal of 125776677780 is 87776677521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 771635979 + ... + 771636141.

It is an arithmetic number, because the mean of its divisors is an integer number (756870660).

Almost surely, 2^125776677780 is an apocalyptic number.

125776677780 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 125776677780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217978750080).

125776677780 is an abundant number, since it is smaller than the sum of its proper divisors (310180822380).

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

125776677780 is a wasteful number, since it uses less digits than its factorization.

125776677780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 48404160, while the sum is 63.

The spelling of 125776677780 in words is "one hundred twenty-five billion, seven hundred seventy-six million, six hundred seventy-seven thousand, seven hundred eighty".