126810809280 has 672 divisors, whose sum is σ = 477753883200. Its totient is φ = 31657402368.

The previous prime is 126810809233. The next prime is 126810809297. The reversal of 126810809280 is 82908018621.

It is a happy number.

126810809280 is a `hidden beast` number, since 1 + 268 + 108 + 0 + 9 + 280 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339975174 + ... + 339975546.

Almost surely, 2^126810809280 is an apocalyptic number.

126810809280 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 126810809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238876941600).

126810809280 is an abundant number, since it is smaller than the sum of its proper divisors (350943073920).

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

126810809280 is a wasteful number, since it uses less digits than its factorization.

126810809280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 126810809280 in words is "one hundred twenty-six billion, eight hundred ten million, eight hundred nine thousand, two hundred eighty".