5405108688 has 240 divisors, whose sum is σ = 17689391616. Its totient is φ = 1508855040.

The previous prime is 5405108671. The next prime is 5405108713. The reversal of 5405108688 is 8868015045.

5405108688 is a `hidden beast` number, since 54 + 0 + 510 + 8 + 6 + 88 = 666.

It is a congruent number.

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, 11008123 + ... + 11008613.

Almost surely, 2^5405108688 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 5405108688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844695808).

5405108688 is an abundant number, since it is smaller than the sum of its proper divisors (12284282928).

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

5405108688 is a wasteful number, since it uses less digits than its factorization.

5405108688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 5405108688 is about 73519.4442851685. Note that the first 3 decimals coincide. The cubic root of 5405108688 is about 1754.9637238953.

The spelling of 5405108688 in words is "five billion, four hundred five million, one hundred eight thousand, six hundred eighty-eight".