126780010560 has 672 divisors, whose sum is σ = 544749484032. Its totient is φ = 26391674880.

The previous prime is 126780010559. The next prime is 126780010633. The reversal of 126780010560 is 65010087621.

126780010560 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 80 + 0 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10618354 + ... + 10630286.

Almost surely, 2^126780010560 is an apocalyptic number.

126780010560 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 126780010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272374742016).

126780010560 is an abundant number, since it is smaller than the sum of its proper divisors (417969473472).

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

126780010560 is a wasteful number, since it uses less digits than its factorization.

126780010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12011 (or 11998 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 126780010560 in words is "one hundred twenty-six billion, seven hundred eighty million, ten thousand, five hundred sixty".