5605577250 has 256 divisors, whose sum is σ = 17974075392. Its totient is φ = 1130976000.

The previous prime is 5605577231. The next prime is 5605577267. The reversal of 5605577250 is 527755065.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1567965 + ... + 1571535.

It is an arithmetic number, because the mean of its divisors is an integer number (70211232).

Almost surely, 2^5605577250 is an apocalyptic number.

5605577250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5605577250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8987037696).

5605577250 is an abundant number, since it is smaller than the sum of its proper divisors (12368498142).

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

5605577250 is a wasteful number, since it uses less digits than its factorization.

5605577250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 367500, while the sum is 42.

The square root of 5605577250 is about 74870.4030308372. The cubic root of 5605577250 is about 1776.3973391425.

The spelling of 5605577250 in words is "five billion, six hundred five million, five hundred seventy-seven thousand, two hundred fifty".