54013159065600 has 1728 divisors, whose sum is σ = 234866448835200. Its totient is φ = 11918349434880.

The previous prime is 54013159065563. The next prime is 54013159065611. The reversal of 54013159065600 is 656095131045.

54013159065600 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 3 + 1 + 590 + 6 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 8138185482 + ... + 8138192118.

Almost surely, 2^{54013159065600} is an apocalyptic number.

54013159065600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54013159065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117433224417600).

54013159065600 is an abundant number, since it is smaller than the sum of its proper divisors (180853289769600).

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

54013159065600 is a wasteful number, since it uses less digits than its factorization.

54013159065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6743 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 54013159065600 in words is "fifty-four trillion, thirteen billion, one hundred fifty-nine million, sixty-five thousand, six hundred".