5408296508160 has 2304 divisors, whose sum is σ = 25729675776000. Its totient is φ = 1043422248960.

The previous prime is 5408296508159. The next prime is 5408296508161. The reversal of 5408296508160 is 618056928045.

5408296508160 is a `hidden beast` number, since 5 + 40 + 8 + 2 + 96 + 508 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5408296508159) and next prime (5408296508161).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×5408296508160² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5408296508097 and 5408296508106.

It is not an unprimeable number, because it can be changed into a prime (5408296508161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1732871400 + ... + 1732874520.

It is an arithmetic number, because the mean of its divisors is an integer number (11167394000).

Almost surely, 2^{5408296508160} 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 5408296508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12864837888000).

5408296508160 is an abundant number, since it is smaller than the sum of its proper divisors (20321379267840).

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

5408296508160 is a wasteful number, since it uses less digits than its factorization.

5408296508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 5408296508160 in words is "five trillion, four hundred eight billion, two hundred ninety-six million, five hundred eight thousand, one hundred sixty".