125206884766080 has 768 divisors, whose sum is σ = 496323539712000. Its totient is φ = 28828421406720.

The previous prime is 125206884766049. The next prime is 125206884766111. The reversal of 125206884766080 is 80667488602521.

125206884766080 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 0 + 6 + 88 + 476 + 6 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (125206884766049) and next prime (125206884766111).

It is a junction number, because it is equal to n+sod(n) for n = 125206884765999 and 125206884766017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111837885 + ... + 112951875.

It is an arithmetic number, because the mean of its divisors is an integer number (646254609000).

Almost surely, 2^{125206884766080} is an apocalyptic number.

125206884766080 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 125206884766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248161769856000).

125206884766080 is an abundant number, since it is smaller than the sum of its proper divisors (371116654945920).

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

125206884766080 is a wasteful number, since it uses less digits than its factorization.

125206884766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114127 (or 1114112 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 125206884766080 in words is "one hundred twenty-five trillion, two hundred six billion, eight hundred eighty-four million, seven hundred sixty-six thousand, eighty".