5605910400 has 192 divisors, whose sum is σ = 18536782320. Its totient is φ = 1489059840.

The previous prime is 5605910371. The next prime is 5605910411. The reversal of 5605910400 is 40195065.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2811804 + ... + 2813796.

Almost surely, 2^5605910400 is an apocalyptic number.

5605910400 is a gapful number since it is divisible by the number (50) 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 5605910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9268391160).

5605910400 is an abundant number, since it is smaller than the sum of its proper divisors (12930871920).

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

5605910400 is a wasteful number, since it uses less digits than its factorization.

5605910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 5605910400 is about 74872.6278422228. The cubic root of 5605910400 is about 1776.4325299904.

The spelling of 5605910400 in words is "five billion, six hundred five million, nine hundred ten thousand, four hundred".