55515040 has 144 divisors (see below), whose sum is σ = 156251592. Its totient is φ = 18579456.

The previous prime is 55515023. The next prime is 55515041. The reversal of 55515040 is 4051555.

55515040 = 708² + 709² + ... + 804².

55515040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 44782864 + 10732176 = 6692^2 + 3276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55514996 and 55515014.

It is not an unprimeable number, because it can be changed into a prime (55515041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572272 + ... + 572368.

Almost surely, 2^55515040 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 55515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78125796).

55515040 is an abundant number, since it is smaller than the sum of its proper divisors (100736552).

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

55515040 is a wasteful number, since it uses less digits than its factorization.

55515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 25.

The square root of 55515040 is about 7450.8415632061. The cubic root of 55515040 is about 381.4786341596.

Adding to 55515040 its reverse (4051555), we get a palindrome (59566595).

The spelling of 55515040 in words is "fifty-five million, five hundred fifteen thousand, forty".