54159910560 has 288 divisors, whose sum is σ = 220408231680. Its totient is φ = 11841122304.

The previous prime is 54159910549. The next prime is 54159910561. The reversal of 54159910560 is 6501995145.

It is a happy number.

54159910560 is a `hidden beast` number, since 5 + 4 + 1 + 599 + 1 + 0 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (54159910561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115036 + ... + 348644.

It is an arithmetic number, because the mean of its divisors is an integer number (765306360).

Almost surely, 2^54159910560 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 54159910560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110204115840).

54159910560 is an abundant number, since it is smaller than the sum of its proper divisors (166248321120).

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

54159910560 is a wasteful number, since it uses less digits than its factorization.

54159910560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233660 (or 233649 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 54159910560 in words is "fifty-four billion, one hundred fifty-nine million, nine hundred ten thousand, five hundred sixty".