126576000000 has 616 divisors, whose sum is σ = 470164294320. Its totient is φ = 33638400000.

The previous prime is 126575999989. The next prime is 126576000007. The reversal of 126576000000 is 675621.

126576000000 is a `hidden beast` number, since 1 + 2 + 6 + 57 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126576000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 431999854 + ... + 432000146.

Almost surely, 2^126576000000 is an apocalyptic number.

126576000000 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 126576000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235082147160).

126576000000 is an abundant number, since it is smaller than the sum of its proper divisors (343588294320).

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

126576000000 is an frugal number, since it uses more digits than its factorization.

126576000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 126576000000 its reverse (675621), we get a palindrome (126576675621).

The spelling of 126576000000 in words is "one hundred twenty-six billion, five hundred seventy-six million", and thus it is an aban number.