54037872518112 has 384 divisors, whose sum is σ = 184245437537280. Its totient is φ = 15089543239680.

The previous prime is 54037872518099. The next prime is 54037872518141. The reversal of 54037872518112 is 21181527873045.

54037872518112 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 7 + 8 + 7 + 2 + 518 + 112 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57455223 + ... + 58388169.

It is an arithmetic number, because the mean of its divisors is an integer number (479805826920).

Almost surely, 2^{54037872518112} 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 54037872518112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92122718768640).

54037872518112 is an abundant number, since it is smaller than the sum of its proper divisors (130207565019168).

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

54037872518112 is a wasteful number, since it uses less digits than its factorization.

54037872518112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933191 (or 933177 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 54037872518112 in words is "fifty-four trillion, thirty-seven billion, eight hundred seventy-two million, five hundred eighteen thousand, one hundred twelve".