5357785440384 has 640 divisors, whose sum is σ = 17614589287680. Its totient is φ = 1606409625600.

The previous prime is 5357785440323. The next prime is 5357785440389. The reversal of 5357785440384 is 4830445877535.

It is a happy number.

5357785440384 is a `hidden beast` number, since 5 + 3 + 5 + 7 + 7 + 8 + 544 + 0 + 3 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (5357785440389) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1078673869 + ... + 1078678835.

It is an arithmetic number, because the mean of its divisors is an integer number (27522795762).

Almost surely, 2^{5357785440384} is an apocalyptic number.

5357785440384 is a gapful number since it is divisible by the number (54) 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 5357785440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8807294643840).

5357785440384 is an abundant number, since it is smaller than the sum of its proper divisors (12256803847296).

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

5357785440384 is a wasteful number, since it uses less digits than its factorization.

5357785440384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 63.

The spelling of 5357785440384 in words is "five trillion, three hundred fifty-seven billion, seven hundred eighty-five million, four hundred forty thousand, three hundred eighty-four".