54616739304960 has 1600 divisors, whose sum is σ = 244355960217600. Its totient is φ = 11370308567040.

The previous prime is 54616739304913. The next prime is 54616739304961. The reversal of 54616739304960 is 6940393761645.

54616739304960 is a `hidden beast` number, since 5 + 4 + 616 + 7 + 3 + 9 + 3 + 0 + 4 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54616739304961) 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 159 ways as a sum of consecutive naturals, for example, 764915341 + ... + 764986739.

It is an arithmetic number, because the mean of its divisors is an integer number (152722475136).

Almost surely, 2^{54616739304960} 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 54616739304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122177980108800).

54616739304960 is an abundant number, since it is smaller than the sum of its proper divisors (189739220912640).

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

54616739304960 is a wasteful number, since it uses less digits than its factorization.

54616739304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71489 (or 71464 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 54616739304960 in words is "fifty-four trillion, six hundred sixteen billion, seven hundred thirty-nine million, three hundred four thousand, nine hundred sixty".