126432672960 has 224 divisors, whose sum is σ = 448102524672. Its totient is φ = 29937438720.

The previous prime is 126432672931. The next prime is 126432672967. The reversal of 126432672960 is 69276234621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (126432672967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314862 + ... + 593298.

Almost surely, 2^126432672960 is an apocalyptic number.

126432672960 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 126432672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224051262336).

126432672960 is an abundant number, since it is smaller than the sum of its proper divisors (321669851712).

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

126432672960 is a wasteful number, since it uses less digits than its factorization.

126432672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278511 (or 278501 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 126432672960 in words is "one hundred twenty-six billion, four hundred thirty-two million, six hundred seventy-two thousand, nine hundred sixty".