126272511960 has 192 divisors, whose sum is σ = 442952517600. Its totient is φ = 28712484864.

The previous prime is 126272511929. The next prime is 126272511961. The reversal of 126272511960 is 69115272621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126272511961) 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 47 ways as a sum of consecutive naturals, for example, 1079206 + ... + 1190474.

Almost surely, 2^126272511960 is an apocalyptic number.

126272511960 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 126272511960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221476258800).

126272511960 is an abundant number, since it is smaller than the sum of its proper divisors (316680005640).

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

126272511960 is a wasteful number, since it uses less digits than its factorization.

126272511960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111490 (or 111479 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 126272511960 in words is "one hundred twenty-six billion, two hundred seventy-two million, five hundred eleven thousand, nine hundred sixty".