125762247632010 has 384 divisors, whose sum is σ = 350326024151040. Its totient is φ = 28620592358400.

The previous prime is 125762247632009. The next prime is 125762247632123. The reversal of 125762247632010 is 10236742267521.

It is a super-2 number, since 2×125762247632010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26032340295 + ... + 26032345125.

It is an arithmetic number, because the mean of its divisors is an integer number (912307354560).

Almost surely, 2^{125762247632010} is an apocalyptic number.

125762247632010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125762247632010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175163012075520).

125762247632010 is an abundant number, since it is smaller than the sum of its proper divisors (224563776519030).

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

125762247632010 is a wasteful number, since it uses less digits than its factorization.

125762247632010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6905 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

Adding to 125762247632010 its reverse (10236742267521), we get a palindrome (135998989899531).

The spelling of 125762247632010 in words is "one hundred twenty-five trillion, seven hundred sixty-two billion, two hundred forty-seven million, six hundred thirty-two thousand, ten".