5861017600 has 72 divisors (see below), whose sum is σ = 14531901930. Its totient is φ = 2344386560.

The previous prime is 5861017567. The next prime is 5861017601. The reversal of 5861017600 is 67101685.

It can be written as a sum of positive squares in 3 ways, for example, as 5014905856 + 846111744 = 70816^2 + 29088^2 .

It is not an unprimeable number, because it can be changed into a prime (5861017601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6037 + ... + 108436.

Almost surely, 2^5861017600 is an apocalyptic number.

5861017600 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 5861017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265950965).

5861017600 is an abundant number, since it is smaller than the sum of its proper divisors (8670884330).

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

5861017600 is a wasteful number, since it uses less digits than its factorization.

5861017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114505 (or 114480 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 5861017600 is about 76557.2831283869. The cubic root of 5861017600 is about 1802.9804121502.

The spelling of 5861017600 in words is "five billion, eight hundred sixty-one million, seventeen thousand, six hundred".