126989375688 has 384 divisors, whose sum is σ = 425717760000. Its totient is φ = 34086407040.

The previous prime is 126989375683. The next prime is 126989375713. The reversal of 126989375688 is 886573989621.

126989375688 is a `hidden beast` number, since 1 + 26 + 9 + 8 + 9 + 37 + 568 + 8 = 666.

It is a super-3 number, since 3×126989375688³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (126989375683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59590383 + ... + 59592513.

It is an arithmetic number, because the mean of its divisors is an integer number (1108640000).

Almost surely, 2^126989375688 is an apocalyptic number.

126989375688 is a gapful number since it is divisible by the number (18) 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 126989375688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212858880000).

126989375688 is an abundant number, since it is smaller than the sum of its proper divisors (298728384312).

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

126989375688 is a wasteful number, since it uses less digits than its factorization.

126989375688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2289 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 126989375688 in words is "one hundred twenty-six billion, nine hundred eighty-nine million, three hundred seventy-five thousand, six hundred eighty-eight".