5205574080 has 896 divisors, whose sum is σ = 22858536960. Its totient is φ = 1088225280.

The previous prime is 5205574069. The next prime is 5205574093. The reversal of 5205574080 is 804755025.

It is a happy number.

5205574080 is a `hidden beast` number, since 5 + 2 + 0 + 5 + 574 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62717719 + ... + 62717801.

It is an arithmetic number, because the mean of its divisors is an integer number (25511760).

Almost surely, 2^5205574080 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 5205574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11429268480).

5205574080 is an abundant number, since it is smaller than the sum of its proper divisors (17652962880).

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

5205574080 is a wasteful number, since it uses less digits than its factorization.

5205574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 5205574080 is about 72149.6644482842. The cubic root of 5205574080 is about 1733.0970262996.

The spelling of 5205574080 in words is "five billion, two hundred five million, five hundred seventy-four thousand, eighty".