5809152000 has 448 divisors, whose sum is σ = 20282416128. Its totient is φ = 1474560000.

The previous prime is 5809151981. The next prime is 5809152043. The reversal of 5809152000 is 2519085.

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 31 ways as a sum of consecutive naturals, for example, 95231970 + ... + 95232030.

Almost surely, 2^5809152000 is an apocalyptic number.

5809152000 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 5809152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141208064).

5809152000 is an abundant number, since it is smaller than the sum of its proper divisors (14473264128).

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

5809152000 is an equidigital number, since it uses as much as digits as its factorization.

5809152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 5809152000 is about 76217.7931981765. The cubic root of 5809152000 is about 1797.6463063499.

The spelling of 5809152000 in words is "five billion, eight hundred nine million, one hundred fifty-two thousand".