126163532880 has 800 divisors, whose sum is σ = 550298707200. Its totient is φ = 26024509440.

The previous prime is 126163532849. The next prime is 126163532897. The reversal of 126163532880 is 88235361621.

126163532880 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 635 + 3 + 2 + 8 + 8 + 0 = 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 (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74344192 + ... + 74345888.

It is an arithmetic number, because the mean of its divisors is an integer number (687873384).

Almost surely, 2^126163532880 is an apocalyptic number.

126163532880 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 126163532880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275149353600).

126163532880 is an abundant number, since it is smaller than the sum of its proper divisors (424135174320).

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

126163532880 is a wasteful number, since it uses less digits than its factorization.

126163532880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 126163532880 in words is "one hundred twenty-six billion, one hundred sixty-three million, five hundred thirty-two thousand, eight hundred eighty".