5753745321984 has 624 divisors, whose sum is σ = 18933870009600. Its totient is φ = 1731366420480.

The previous prime is 5753745321937. The next prime is 5753745321991. The reversal of 5753745321984 is 4891235473575.

5753745321984 is a `hidden beast` number, since 5 + 7 + 5 + 3 + 7 + 4 + 532 + 1 + 98 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1631340829 + ... + 1631344355.

It is an arithmetic number, because the mean of its divisors is an integer number (30342740400).

Almost surely, 2^{5753745321984} is an apocalyptic number.

5753745321984 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 5753745321984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9466935004800).

5753745321984 is an abundant number, since it is smaller than the sum of its proper divisors (13180124687616).

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

5753745321984 is a wasteful number, since it uses less digits than its factorization.

5753745321984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3692 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 63.

The spelling of 5753745321984 in words is "five trillion, seven hundred fifty-three billion, seven hundred forty-five million, three hundred twenty-one thousand, nine hundred eighty-four".