126542494080 has 256 divisors, whose sum is σ = 451451102400. Its totient is φ = 33497726976.

The previous prime is 126542494069. The next prime is 126542494093. The reversal of 126542494080 is 80494245621.

It is a happy number.

126542494080 is a `hidden beast` number, since 1 + 2 + 65 + 424 + 94 + 0 + 80 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2340634 + ... + 2394086.

Almost surely, 2^126542494080 is an apocalyptic number.

126542494080 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 126542494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225725551200).

126542494080 is an abundant number, since it is smaller than the sum of its proper divisors (324908608320).

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

126542494080 is a wasteful number, since it uses less digits than its factorization.

126542494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53618 (or 53600 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 126542494080 in words is "one hundred twenty-six billion, five hundred forty-two million, four hundred ninety-four thousand, eighty".