5432938168320 has 896 divisors, whose sum is σ = 21059147970000. Its totient is φ = 1336956420096.

The previous prime is 5432938168303. The next prime is 5432938168391. The reversal of 5432938168320 is 238618392345.

5432938168320 is a `hidden beast` number, since 543 + 2 + 9 + 3 + 8 + 1 + 68 + 32 + 0 = 666.

It is a super-4 number, since 4×5432938168320⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1552709931 + ... + 1552713429.

Almost surely, 2^{5432938168320} 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 5432938168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529573985000).

5432938168320 is an abundant number, since it is smaller than the sum of its proper divisors (15626209801680).

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

5432938168320 is an frugal number, since it uses more digits than its factorization.

5432938168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 5432938168320 in words is "five trillion, four hundred thirty-two billion, nine hundred thirty-eight million, one hundred sixty-eight thousand, three hundred twenty".