126067109760 has 384 divisors, whose sum is σ = 473031936000. Its totient is φ = 30820331520.

The previous prime is 126067109743. The next prime is 126067109761. The reversal of 126067109760 is 67901760621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126067109761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3374061 + ... + 3411219.

It is an arithmetic number, because the mean of its divisors is an integer number (1231854000).

Almost surely, 2^126067109760 is an apocalyptic number.

126067109760 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 126067109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236515968000).

126067109760 is an abundant number, since it is smaller than the sum of its proper divisors (346964826240).

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

126067109760 is a wasteful number, since it uses less digits than its factorization.

126067109760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37234 (or 37219 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 126067109760 in words is "one hundred twenty-six billion, sixty-seven million, one hundred nine thousand, seven hundred sixty".