126487306080 has 960 divisors, whose sum is σ = 484093919232. Its totient is φ = 31039303680.

The previous prime is 126487305961. The next prime is 126487306157. The reversal of 126487306080 is 80603784621.

126487306080 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 8 + 7 + 30 + 608 + 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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 995962977 + ... + 995963103.

Almost surely, 2^126487306080 is an apocalyptic number.

126487306080 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 126487306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242046959616).

126487306080 is an abundant number, since it is smaller than the sum of its proper divisors (357606613152).

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

126487306080 is a wasteful number, since it uses less digits than its factorization.

126487306080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 126487306080 in words is "one hundred twenty-six billion, four hundred eighty-seven million, three hundred six thousand, eighty".