126182000880 has 1200 divisors, whose sum is σ = 515381638464. Its totient is φ = 28426567680.

The previous prime is 126182000869. The next prime is 126182000921. The reversal of 126182000880 is 88000281621.

126182000880 is a `hidden beast` number, since 12 + 618 + 20 + 0 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1728520524 + ... + 1728520596.

Almost surely, 2^126182000880 is an apocalyptic number.

126182000880 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 126182000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257690819232).

126182000880 is an abundant number, since it is smaller than the sum of its proper divisors (389199637584).

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

126182000880 is a wasteful number, since it uses less digits than its factorization.

126182000880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 126182000880 in words is "one hundred twenty-six billion, one hundred eighty-two million, eight hundred eighty", and thus it is an aban number.