125887664100 has 432 divisors, whose sum is σ = 426819556800. Its totient is φ = 28387814400.

The previous prime is 125887664099. The next prime is 125887664129. The reversal of 125887664100 is 1466788521.

It is a self number, because there is not a number n which added to its sum of digits gives 125887664100.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64589926 + ... + 64591874.

Almost surely, 2^125887664100 is an apocalyptic number.

125887664100 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 125887664100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213409778400).

125887664100 is an abundant number, since it is smaller than the sum of its proper divisors (300931892700).

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

125887664100 is a wasteful number, since it uses less digits than its factorization.

125887664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

It can be divided in two parts, 125887 and 664100, that added together give a palindrome (789987).

The spelling of 125887664100 in words is "one hundred twenty-five billion, eight hundred eighty-seven million, six hundred sixty-four thousand, one hundred".