54126338273280 has 2496 divisors, whose sum is σ = 242642052237312. Its totient is φ = 10847004917760.

The previous prime is 54126338273263. The next prime is 54126338273311. The reversal of 54126338273280 is 8237283362145.

54126338273280 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 6 + 338 + 27 + 3 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66740244075 + ... + 66740244885.

It is an arithmetic number, because the mean of its divisors is an integer number (97212360672).

Almost surely, 2^{54126338273280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54126338273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121321026118656).

54126338273280 is an abundant number, since it is smaller than the sum of its proper divisors (188515713964032).

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

54126338273280 is a wasteful number, since it uses less digits than its factorization.

54126338273280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 54126338273280 in words is "fifty-four trillion, one hundred twenty-six billion, three hundred thirty-eight million, two hundred seventy-three thousand, two hundred eighty".