126277836840960 has 896 divisors, whose sum is σ = 471905892864000. Its totient is φ = 28821030174720.

The previous prime is 126277836840931. The next prime is 126277836841003. The reversal of 126277836840960 is 69048638772621.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×126277836840960² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35362035975 + ... + 35362039545.

It is an arithmetic number, because the mean of its divisors is an integer number (526680684000).

Almost surely, 2^{126277836840960} is an apocalyptic number.

126277836840960 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 126277836840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235952946432000).

126277836840960 is an abundant number, since it is smaller than the sum of its proper divisors (345628056023040).

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

126277836840960 is an frugal number, since it uses more digits than its factorization.

126277836840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 69.

The spelling of 126277836840960 in words is "one hundred twenty-six trillion, two hundred seventy-seven billion, eight hundred thirty-six million, eight hundred forty thousand, nine hundred sixty".