55057968 has 270 divisors, whose sum is σ = 197458716. Its totient is φ = 14805504.

The previous prime is 55057963. The next prime is 55057969. The reversal of 55057968 is 86975055.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

55057968 is a `hidden beast` number, since 550 + 5 + 7 + 96 + 8 = 666.

It is a super-4 number, since 4×55057968⁴ (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (55057963) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3238696 + ... + 3238712.

Almost surely, 2^55057968 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 55057968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98729358).

55057968 is an abundant number, since it is smaller than the sum of its proper divisors (142400748).

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

55057968 is a wasteful number, since it uses less digits than its factorization.

55057968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 55057968 is about 7420.1056596251. The cubic root of 55057968 is about 380.4288049519.

The spelling of 55057968 in words is "fifty-five million, fifty-seven thousand, nine hundred sixty-eight".