55160332718400 has 2016 divisors, whose sum is σ = 249106197849600. Its totient is φ = 11264803799040.

The previous prime is 55160332718369. The next prime is 55160332718401. The reversal of 55160332718400 is 481723306155.

It is a happy number.

55160332718400 is a `hidden beast` number, since 5 + 5 + 1 + 603 + 3 + 27 + 18 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (55160332718401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9648472342 + ... + 9648478058.

Almost surely, 2^{55160332718400} is an apocalyptic number.

55160332718400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55160332718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124553098924800).

55160332718400 is an abundant number, since it is smaller than the sum of its proper divisors (193945865131200).

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

55160332718400 is a wasteful number, since it uses less digits than its factorization.

55160332718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6001 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 55160332718400 in words is "fifty-five trillion, one hundred sixty billion, three hundred thirty-two million, seven hundred eighteen thousand, four hundred".