5403982022208 has 4032 divisors, whose sum is σ = 23957221478400. Its totient is φ = 1180259942400.

The previous prime is 5403982022203. The next prime is 5403982022221. The reversal of 5403982022208 is 8022202893045.

5403982022208 is a `hidden beast` number, since 54 + 0 + 398 + 2 + 0 + 2 + 2 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5403982022203) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 76112422813 + ... + 76112422883.

It is an arithmetic number, because the mean of its divisors is an integer number (5941771200).

Almost surely, 2^{5403982022208} 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 5403982022208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978610739200).

5403982022208 is an abundant number, since it is smaller than the sum of its proper divisors (18553239456192).

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

5403982022208 is a wasteful number, since it uses less digits than its factorization.

5403982022208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 5403982022208 in words is "five trillion, four hundred three billion, nine hundred eighty-two million, twenty-two thousand, two hundred eight".