126511994880 has 480 divisors, whose sum is σ = 457409272320. Its totient is φ = 33443020800.

The previous prime is 126511994839. The next prime is 126511994911. The reversal of 126511994880 is 88499115621.

126511994880 is a `hidden beast` number, since 1 + 2 + 6 + 511 + 9 + 9 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 105338280 + ... + 105339480.

It is an arithmetic number, because the mean of its divisors is an integer number (952935984).

Almost surely, 2^126511994880 is an apocalyptic number.

126511994880 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 126511994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228704636160).

126511994880 is an abundant number, since it is smaller than the sum of its proper divisors (330897277440).

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

126511994880 is a wasteful number, since it uses less digits than its factorization.

126511994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 126511994880 in words is "one hundred twenty-six billion, five hundred eleven million, nine hundred ninety-four thousand, eight hundred eighty".