54956544 has 80 divisors (see below), whose sum is σ = 150520128. Its totient is φ = 17805312.

The previous prime is 54956519. The next prime is 54956593. The reversal of 54956544 is 44565945.

It is a junction number, because it is equal to n+sod(n) for n = 54956496 and 54956505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56349 + ... + 57315.

Almost surely, 2^54956544 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 54956544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75260064).

54956544 is an abundant number, since it is smaller than the sum of its proper divisors (95563584).

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

54956544 is an equidigital number, since it uses as much as digits as its factorization.

54956544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1009 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 54956544 is about 7413.2681052286. The cubic root of 54956544 is about 380.1950614422.

The spelling of 54956544 in words is "fifty-four million, nine hundred fifty-six thousand, five hundred forty-four".