126561888000 has 864 divisors, whose sum is σ = 486235713600. Its totient is φ = 31518720000.

The previous prime is 126561887999. The next prime is 126561888029. The reversal of 126561888000 is 888165621.

126561888000 is a `hidden beast` number, since 1 + 2 + 6 + 561 + 8 + 8 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×126561888000² (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 552671886 + ... + 552672114.

Almost surely, 2^126561888000 is an apocalyptic number.

126561888000 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 126561888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243117856800).

126561888000 is an abundant number, since it is smaller than the sum of its proper divisors (359673825600).

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

126561888000 is a wasteful number, since it uses less digits than its factorization.

126561888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 126561888000 in words is "one hundred twenty-six billion, five hundred sixty-one million, eight hundred eighty-eight thousand".