126162728760 has 128 divisors (see below), whose sum is σ = 391293964800. Its totient is φ = 32517158400.

The previous prime is 126162728749. The next prime is 126162728789. The reversal of 126162728760 is 67827261621.

It is a super-2 number, since 2×126162728760² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576351 + ... + 764529.

It is an arithmetic number, because the mean of its divisors is an integer number (3056984100).

Almost surely, 2^126162728760 is an apocalyptic number.

126162728760 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 126162728760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195646982400).

126162728760 is an abundant number, since it is smaller than the sum of its proper divisors (265131236040).

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

126162728760 is a wasteful number, since it uses less digits than its factorization.

126162728760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188381 (or 188377 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 126162728760 in words is "one hundred twenty-six billion, one hundred sixty-two million, seven hundred twenty-eight thousand, seven hundred sixty".