55797552 has 80 divisors (see below), whose sum is σ = 163248480. Its totient is φ = 18240768.

The previous prime is 55797541. The next prime is 55797569. The reversal of 55797552 is 25579755.

55797552 is a `hidden beast` number, since 5 + 5 + 7 + 97 + 552 = 666.

55797552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55797552² = 6226733618385408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55797498 and 55797507.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21678 + ... + 24114.

It is an arithmetic number, because the mean of its divisors is an integer number (2040606).

Almost surely, 2^55797552 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 55797552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81624240).

55797552 is an abundant number, since it is smaller than the sum of its proper divisors (107450928).

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

55797552 is a wasteful number, since it uses less digits than its factorization.

55797552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2495 counting only the distinct ones).

The product of its digits is 551250, while the sum is 45.

The square root of 55797552 is about 7469.7759002530. The cubic root of 55797552 is about 382.1246452338.

It can be divided in two parts, 5579 and 7552, that added together give a palindrome (13131).

The spelling of 55797552 in words is "fifty-five million, seven hundred ninety-seven thousand, five hundred fifty-two".