126509359680 has 448 divisors, whose sum is σ = 515515311360. Its totient is φ = 28864512000.

The previous prime is 126509359673. The next prime is 126509359681. The reversal of 126509359680 is 86953905621.

It is a happy number.

126509359680 is a `hidden beast` number, since 1 + 2 + 6 + 509 + 3 + 59 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (126509359681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1576530 + ... + 1654830.

It is an arithmetic number, because the mean of its divisors is an integer number (1150703820).

Almost surely, 2^126509359680 is an apocalyptic number.

126509359680 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 126509359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257757655680).

126509359680 is an abundant number, since it is smaller than the sum of its proper divisors (389005951680).

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

126509359680 is a wasteful number, since it uses less digits than its factorization.

126509359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78355 (or 78339 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 126509359680 in words is "one hundred twenty-six billion, five hundred nine million, three hundred fifty-nine thousand, six hundred eighty".