55665118080 has 768 divisors, whose sum is σ = 234280650240. Its totient is φ = 12451553280.

The previous prime is 55665118051. The next prime is 55665118081. The reversal of 55665118080 is 8081156655.

55665118080 is a `hidden beast` number, since 5 + 56 + 6 + 511 + 8 + 0 + 80 = 666.

55665118080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55665118081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22238109 + ... + 22240611.

It is an arithmetic number, because the mean of its divisors is an integer number (305052930).

Almost surely, 2^55665118080 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 55665118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117140325120).

55665118080 is an abundant number, since it is smaller than the sum of its proper divisors (178615532160).

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

55665118080 is a wasteful number, since it uses less digits than its factorization.

55665118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 55665118080 in words is "fifty-five billion, six hundred sixty-five million, one hundred eighteen thousand, eighty".