5802191136 has 288 divisors, whose sum is σ = 20325634560. Its totient is φ = 1603929600.

The previous prime is 5802191123. The next prime is 5802191173. The reversal of 5802191136 is 6311912085.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5802191136.

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, 1310206 + ... + 1314626.

It is an arithmetic number, because the mean of its divisors is an integer number (70575120).

Almost surely, 2^5802191136 is an apocalyptic number.

5802191136 is a gapful number since it is divisible by the number (56) 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 5802191136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10162817280).

5802191136 is an abundant number, since it is smaller than the sum of its proper divisors (14523443424).

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

5802191136 is a wasteful number, since it uses less digits than its factorization.

5802191136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5802191136 is about 76172.1152128520. The cubic root of 5802191136 is about 1796.9280045626.

The spelling of 5802191136 in words is "five billion, eight hundred two million, one hundred ninety-one thousand, one hundred thirty-six".