55145916160 has 144 divisors (see below), whose sum is σ = 139279795200. Its totient is φ = 20861964288.

The previous prime is 55145916131. The next prime is 55145916173. The reversal of 55145916160 is 6161954155.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17679081 + ... + 17682199.

It is an arithmetic number, because the mean of its divisors is an integer number (967220800).

Almost surely, 2^55145916160 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 55145916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69639897600).

55145916160 is an abundant number, since it is smaller than the sum of its proper divisors (84133879040).

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

55145916160 is a wasteful number, since it uses less digits than its factorization.

55145916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 43.

The spelling of 55145916160 in words is "fifty-five billion, one hundred forty-five million, nine hundred sixteen thousand, one hundred sixty".