5385778449984 has 63 divisors (see below), whose sum is σ = 15437521143057. Its totient is φ = 1795240917504.

The previous prime is 5385778449949. The next prime is 5385778450001. The reversal of 5385778449984 is 4899448775835.

The square root of 5385778449984 is 2320728.

It is a perfect power (a square), and thus also a powerful number.

5385778449984 is a `hidden beast` number, since 5 + 3 + 8 + 57 + 78 + 4 + 499 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1328486760000 + 4057291689984 = 1152600^2 + 2014272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55649124 + ... + 55745820.

Almost surely, 2^{5385778449984} is an apocalyptic number.

5385778449984 is the 2320728-th square number.

It is an amenable number.

5385778449984 is an abundant number, since it is smaller than the sum of its proper divisors (10051742693073).

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

5385778449984 is an frugal number, since it uses more digits than its factorization.

5385778449984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193412 (or 96702 counting only the distinct ones).

The product of its digits is 9754214400, while the sum is 81.

Multiplying 5385778449984 by its sum of digits (81), we get a square (436248054448704 = 20886552²).

The spelling of 5385778449984 in words is "five trillion, three hundred eighty-five billion, seven hundred seventy-eight million, four hundred forty-nine thousand, nine hundred eighty-four".