54355256790912 has 576 divisors, whose sum is σ = 202824002734080. Its totient is φ = 13662813542400.

The previous prime is 54355256790907. The next prime is 54355256790917. The reversal of 54355256790912 is 21909765255345.

54355256790912 is a `hidden beast` number, since 5 + 4 + 3 + 5 + 52 + 567 + 9 + 0 + 9 + 12 = 666.

54355256790912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54355256790907) and next prime (54355256790917).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 54355256790912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54355256790917) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 29349573 + ... + 31146555.

Almost surely, 2^{54355256790912} 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 54355256790912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101412001367040).

54355256790912 is an abundant number, since it is smaller than the sum of its proper divisors (148468745943168).

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

54355256790912 is a wasteful number, since it uses less digits than its factorization.

54355256790912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797063 (or 1797037 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 63.

The spelling of 54355256790912 in words is "fifty-four trillion, three hundred fifty-five billion, two hundred fifty-six million, seven hundred ninety thousand, nine hundred twelve".