5405205600 has 288 divisors, whose sum is σ = 20225268000. Its totient is φ = 1391523840.

The previous prime is 5405205529. The next prime is 5405205653. The reversal of 5405205600 is 65025045.

5405205600 is a `hidden beast` number, since 5 + 4 + 0 + 52 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 622086 + ... + 630714.

It is an arithmetic number, because the mean of its divisors is an integer number (70226625).

Almost surely, 2^5405205600 is an apocalyptic number.

5405205600 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 5405205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112634000).

5405205600 is an abundant number, since it is smaller than the sum of its proper divisors (14820062400).

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

5405205600 is a wasteful number, since it uses less digits than its factorization.

5405205600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8687 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5405205600 is about 73520.1033731591. The cubic root of 5405205600 is about 1754.9742124927.

The spelling of 5405205600 in words is "five billion, four hundred five million, two hundred five thousand, six hundred".