55719120 has 80 divisors (see below), whose sum is σ = 173828160. Its totient is φ = 14764032.

The previous prime is 55719119. The next prime is 55719127. The reversal of 55719120 is 2191755.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55719127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42312 + ... + 43608.

It is an arithmetic number, because the mean of its divisors is an integer number (2172852).

Almost surely, 2^55719120 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 55719120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86914080).

55719120 is an abundant number, since it is smaller than the sum of its proper divisors (118109040).

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

55719120 is a wasteful number, since it uses less digits than its factorization.

55719120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 55719120 is about 7464.5240973554. The cubic root of 55719120 is about 381.9455163836.

The spelling of 55719120 in words is "fifty-five million, seven hundred nineteen thousand, one hundred twenty".