5409960192 has 720 divisors, whose sum is σ = 20609014272. Its totient is φ = 1373552640.

The previous prime is 5409960191. The next prime is 5409960221. The reversal of 5409960192 is 2910699045.

5409960192 is a `hidden beast` number, since 540 + 9 + 96 + 0 + 19 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (5409960191) 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, 88687842 + ... + 88687902.

Almost surely, 2^5409960192 is an apocalyptic number.

5409960192 is a gapful number since it is divisible by the number (52) 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 5409960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10304507136).

5409960192 is an abundant number, since it is smaller than the sum of its proper divisors (15199054080).

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

5409960192 is a wasteful number, since it uses less digits than its factorization.

5409960192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 5409960192 is about 73552.4315845506. The cubic root of 5409960192 is about 1755.4886388660.

The spelling of 5409960192 in words is "five billion, four hundred nine million, nine hundred sixty thousand, one hundred ninety-two".