54117540 has 72 divisors (see below), whose sum is σ = 168183288. Its totient is φ = 14077440.

The previous prime is 54117527. The next prime is 54117559. The reversal of 54117540 is 4571145.

It is a happy number.

54117540 is a `hidden beast` number, since 5 + 4 + 117 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 49028004 = 2256^2 + 7002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3714 + ... + 11046.

It is an arithmetic number, because the mean of its divisors is an integer number (2335879).

Almost surely, 2^54117540 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 54117540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84091644).

54117540 is an abundant number, since it is smaller than the sum of its proper divisors (114065748).

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

54117540 is a wasteful number, since it uses less digits than its factorization.

54117540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7389 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 54117540 is about 7356.4624650711. The cubic root of 54117540 is about 378.2503590455.

Adding to 54117540 its reverse (4571145), we get a palindrome (58688685).

It can be divided in two parts, 541 and 17540, that added together give a palindrome (18081).

The spelling of 54117540 in words is "fifty-four million, one hundred seventeen thousand, five hundred forty".