5709406500 has 576 divisors, whose sum is σ = 21941337600. Its totient is φ = 1295481600.

The previous prime is 5709406499. The next prime is 5709406511. The reversal of 5709406500 is 56049075.

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 191 ways as a sum of consecutive naturals, for example, 41674432 + ... + 41674568.

It is an arithmetic number, because the mean of its divisors is an integer number (38092600).

Almost surely, 2^5709406500 is an apocalyptic number.

5709406500 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 5709406500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10970668800).

5709406500 is an abundant number, since it is smaller than the sum of its proper divisors (16231931100).

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

5709406500 is a wasteful number, since it uses less digits than its factorization.

5709406500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5709406500 is about 75560.6147407497. The cubic root of 5709406500 is about 1787.2980781577.

The spelling of 5709406500 in words is "five billion, seven hundred nine million, four hundred six thousand, five hundred".