126642789534976 has 432 divisors, whose sum is σ = 306142758835200. Its totient is φ = 51923489587200.

The previous prime is 126642789534953. The next prime is 126642789535063. The reversal of 126642789534976 is 679435987246621.

It is a super-2 number, since 2×126642789534976² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126642789534896 and 126642789534905.

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 47 ways as a sum of consecutive naturals, for example, 3230746225 + ... + 3230785423.

It is an arithmetic number, because the mean of its divisors is an integer number (708663793600).

Almost surely, 2^{126642789534976} is an apocalyptic number.

126642789534976 is a gapful number since it is divisible by the number (16) 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 126642789534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153071379417600).

126642789534976 is an abundant number, since it is smaller than the sum of its proper divisors (179499969300224).

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

126642789534976 is a wasteful number, since it uses less digits than its factorization.

126642789534976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39434 (or 39409 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 79.

The spelling of 126642789534976 in words is "one hundred twenty-six trillion, six hundred forty-two billion, seven hundred eighty-nine million, five hundred thirty-four thousand, nine hundred seventy-six".