126357171160 has 128 divisors (see below), whose sum is σ = 319932244800. Its totient is φ = 44509685760.

The previous prime is 126357171139. The next prime is 126357171163. The reversal of 126357171160 is 61171753621.

It is a super-2 number, since 2×126357171160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126357171163) by changing a digit.

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, 3711174 + ... + 3745066.

Almost surely, 2^126357171160 is an apocalyptic number.

126357171160 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 126357171160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159966122400).

126357171160 is an abundant number, since it is smaller than the sum of its proper divisors (193575073640).

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

126357171160 is a wasteful number, since it uses less digits than its factorization.

126357171160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34181 (or 34177 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 126357171160 in words is "one hundred twenty-six billion, three hundred fifty-seven million, one hundred seventy-one thousand, one hundred sixty".