5861909200 has 180 divisors, whose sum is σ = 16949099340. Its totient is φ = 1940305920.

The previous prime is 5861909153. The next prime is 5861909267. The reversal of 5861909200 is 29091685.

It can be written as a sum of positive squares in 6 ways, for example, as 176145984 + 5685763216 = 13272^2 + 75404^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 563244 + ... + 573556.

It is an arithmetic number, because the mean of its divisors is an integer number (94161663).

Almost surely, 2^5861909200 is an apocalyptic number.

5861909200 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 5861909200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8474549670).

5861909200 is an abundant number, since it is smaller than the sum of its proper divisors (11087190140).

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

5861909200 is a wasteful number, since it uses less digits than its factorization.

5861909200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10374 (or 10356 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 5861909200 is about 76563.1059976017. The cubic root of 5861909200 is about 1803.0718328975.

The spelling of 5861909200 in words is "five billion, eight hundred sixty-one million, nine hundred nine thousand, two hundred".