126817919592 has 640 divisors, whose sum is σ = 424038236160. Its totient is φ = 31365895680.

The previous prime is 126817919537. The next prime is 126817919609. The reversal of 126817919592 is 295919718621.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 998566233 + ... + 998566359.

It is an arithmetic number, because the mean of its divisors is an integer number (662559744).

Almost surely, 2^126817919592 is an apocalyptic number.

126817919592 is a gapful number since it is divisible by the number (12) 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 126817919592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212019118080).

126817919592 is an abundant number, since it is smaller than the sum of its proper divisors (297220316568).

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

126817919592 is a wasteful number, since it uses less digits than its factorization.

126817919592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 60.

It can be divided in two parts, 126 and 817919592, that added together give a palindrome (817919718).

The spelling of 126817919592 in words is "one hundred twenty-six billion, eight hundred seventeen million, nine hundred nineteen thousand, five hundred ninety-two".