126557842834080 has 1152 divisors, whose sum is σ = 526065510297600. Its totient is φ = 27046390136832.

The previous prime is 126557842834061. The next prime is 126557842834117. The reversal of 126557842834080 is 80438248755621.

126557842834080 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 578 + 4 + 28 + 34 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 126557842833999 and 126557842834017.

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 191 ways as a sum of consecutive naturals, for example, 18796646394 + ... + 18796653126.

It is an arithmetic number, because the mean of its divisors is an integer number (456654088800).

Almost surely, 2^{126557842834080} is an apocalyptic number.

126557842834080 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 126557842834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263032755148800).

126557842834080 is an abundant number, since it is smaller than the sum of its proper divisors (399507667463520).

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

126557842834080 is a wasteful number, since it uses less digits than its factorization.

126557842834080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 126557842834080 in words is "one hundred twenty-six trillion, five hundred fifty-seven billion, eight hundred forty-two million, eight hundred thirty-four thousand, eighty".