125582803104 has 384 divisors, whose sum is σ = 402544235520. Its totient is φ = 33785856000.

The previous prime is 125582803091. The next prime is 125582803147. The reversal of 125582803104 is 401308285521.

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, 96527254 + ... + 96528554.

It is an arithmetic number, because the mean of its divisors is an integer number (1048292280).

Almost surely, 2^125582803104 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 125582803104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201272117760).

125582803104 is an abundant number, since it is smaller than the sum of its proper divisors (276961432416).

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

125582803104 is a wasteful number, since it uses less digits than its factorization.

125582803104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 125582803104 in words is "one hundred twenty-five billion, five hundred eighty-two million, eight hundred three thousand, one hundred four".