54011520 has 96 divisors (see below), whose sum is σ = 186528420. Its totient is φ = 14401536.

The previous prime is 54011501. The next prime is 54011539. The reversal of 54011520 is 2511045.

It is an interprime number because it is at equal distance from previous prime (54011501) and next prime (54011539).

It can be written as a sum of positive squares in 2 ways, for example, as 49449024 + 4562496 = 7032^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 54011493 and 54011502.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1072 + ... + 10448.

Almost surely, 2^54011520 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 54011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93264210).

54011520 is an abundant number, since it is smaller than the sum of its proper divisors (132516900).

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

54011520 is a wasteful number, since it uses less digits than its factorization.

54011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9402 (or 9387 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 54011520 is about 7349.2530232671. The cubic root of 54011520 is about 378.0031913731.

Adding to 54011520 its reverse (2511045), we get a palindrome (56522565).

The spelling of 54011520 in words is "fifty-four million, eleven thousand, five hundred twenty".