126089832960 has 480 divisors, whose sum is σ = 537466849920. Its totient is φ = 26603126784.

The previous prime is 126089832919. The next prime is 126089832961. The reversal of 126089832960 is 69238980621.

126089832960 is a `hidden beast` number, since 1 + 2 + 608 + 9 + 8 + 3 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 126089832897 and 126089832906.

It is not an unprimeable number, because it can be changed into a prime (126089832961) 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, 2066571 + ... + 2126709.

It is an arithmetic number, because the mean of its divisors is an integer number (1119722604).

Almost surely, 2^126089832960 is an apocalyptic number.

126089832960 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 126089832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268733424960).

126089832960 is an abundant number, since it is smaller than the sum of its proper divisors (411377016960).

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

126089832960 is a wasteful number, since it uses less digits than its factorization.

126089832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60188 (or 60169 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 126089832960 in words is "one hundred twenty-six billion, eighty-nine million, eight hundred thirty-two thousand, nine hundred sixty".