54813013657920 has 1344 divisors, whose sum is σ = 235920966328320. Its totient is φ = 11833311264768.

The previous prime is 54813013657907. The next prime is 54813013657921. The reversal of 54813013657920 is 2975631031845.

It is a happy number.

54813013657920 is a `hidden beast` number, since 5 + 4 + 8 + 1 + 30 + 1 + 36 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54813013657921) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3485273097 + ... + 3485288823.

It is an arithmetic number, because the mean of its divisors is an integer number (175536433280).

It is a 2-persistent number, because it is pandigital, and so is 2⋅54813013657920 = 109626027315840, but 3⋅54813013657920 = 164439040973760 is not.

Almost surely, 2^{54813013657920} 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 54813013657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117960483164160).

54813013657920 is an abundant number, since it is smaller than the sum of its proper divisors (181107952670400).

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

54813013657920 is a wasteful number, since it uses less digits than its factorization.

54813013657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16122 (or 16100 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 54813013657920 in words is "fifty-four trillion, eight hundred thirteen billion, thirteen million, six hundred fifty-seven thousand, nine hundred twenty".