55077568 has 112 divisors (see below), whose sum is σ = 137972800. Its totient is φ = 21676032.

The previous prime is 55077563. The next prime is 55077593. The reversal of 55077568 is 86577055.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (55077563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285280 + ... + 285472.

It is an arithmetic number, because the mean of its divisors is an integer number (1231900).

Almost surely, 2^55077568 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 55077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68986400).

55077568 is an abundant number, since it is smaller than the sum of its proper divisors (82895232).

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

55077568 is a wasteful number, since it uses less digits than its factorization.

55077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 43.

The square root of 55077568 is about 7421.4262780142. The cubic root of 55077568 is about 380.4739423481.

The spelling of 55077568 in words is "fifty-five million, seventy-seven thousand, five hundred sixty-eight".