54800188560 has 240 divisors, whose sum is σ = 198396145584. Its totient is φ = 13475524608.

The previous prime is 54800188481. The next prime is 54800188561. The reversal of 54800188560 is 6588100845.

54800188560 is a `hidden beast` number, since 5 + 4 + 8 + 0 + 0 + 1 + 88 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5019439104 + 49780749456 = 70848^2 + 223116^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (54800188561) 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, 11575954 + ... + 11580686.

Almost surely, 2^54800188560 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 54800188560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99198072792).

54800188560 is an abundant number, since it is smaller than the sum of its proper divisors (143595957024).

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

54800188560 is a wasteful number, since it uses less digits than its factorization.

54800188560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 54800188560 in words is "fifty-four billion, eight hundred million, one hundred eighty-eight thousand, five hundred sixty".