55145521824 has 96 divisors (see below), whose sum is σ = 145627626816. Its totient is φ = 18271518720.

The previous prime is 55145521817. The next prime is 55145521841. The reversal of 55145521824 is 42812554155.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 24650434 + ... + 24652670.

It is an arithmetic number, because the mean of its divisors is an integer number (1516954446).

Almost surely, 2^55145521824 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 55145521824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72813813408).

55145521824 is an abundant number, since it is smaller than the sum of its proper divisors (90482104992).

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

55145521824 is a wasteful number, since it uses less digits than its factorization.

55145521824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3670 counting only the distinct ones).

The product of its digits is 320000, while the sum is 42.

The spelling of 55145521824 in words is "fifty-five billion, one hundred forty-five million, five hundred twenty-one thousand, eight hundred twenty-four".