126937308960 has 576 divisors, whose sum is σ = 554674708224. Its totient is φ = 25662873600.

The previous prime is 126937308881. The next prime is 126937308961. The reversal of 126937308960 is 69803739621.

126937308960 is a `hidden beast` number, since 1 + 269 + 373 + 0 + 8 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×126937308960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126937308897 and 126937308906.

It is not an unprimeable number, because it can be changed into a prime (126937308961) 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, 4087090 + ... + 4118030.

It is an arithmetic number, because the mean of its divisors is an integer number (962976924).

Almost surely, 2^126937308960 is an apocalyptic number.

126937308960 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 126937308960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277337354112).

126937308960 is an abundant number, since it is smaller than the sum of its proper divisors (427737399264).

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

126937308960 is a wasteful number, since it uses less digits than its factorization.

126937308960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31017 (or 31006 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 126937308960 in words is "one hundred twenty-six billion, nine hundred thirty-seven million, three hundred eight thousand, nine hundred sixty".