126781205760 has 648 divisors, whose sum is σ = 507634676640. Its totient is φ = 29111132160.

The previous prime is 126781205743. The next prime is 126781205767. The reversal of 126781205760 is 67502187621.

126781205760 is a `hidden beast` number, since 1 + 2 + 6 + 78 + 1 + 2 + 0 + 576 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126781205767) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26482087 + ... + 26486873.

Almost surely, 2^126781205760 is an apocalyptic number.

126781205760 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 126781205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253817338320).

126781205760 is an abundant number, since it is smaller than the sum of its proper divisors (380853470880).

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

126781205760 is a wasteful number, since it uses less digits than its factorization.

126781205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 126781205760 in words is "one hundred twenty-six billion, seven hundred eighty-one million, two hundred five thousand, seven hundred sixty".