5841605952 has 840 divisors, whose sum is σ = 22808930760. Its totient is φ = 1463132160.

The previous prime is 5841605947. The next prime is 5841605953. The reversal of 5841605952 is 2595061485.

5841605952 is a `hidden beast` number, since 58 + 4 + 1 + 6 + 0 + 595 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49787136 + 5791818816 = 7056^2 + 76104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5841605898 and 5841605907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5841605953) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95764002 + ... + 95764062.

It is an arithmetic number, because the mean of its divisors is an integer number (27153489).

Almost surely, 2^5841605952 is an apocalyptic number.

5841605952 is a gapful number since it is divisible by the number (52) 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 5841605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404465380).

5841605952 is an abundant number, since it is smaller than the sum of its proper divisors (16967324808).

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

5841605952 is a wasteful number, since it uses less digits than its factorization.

5841605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 5841605952 is about 76430.3993970985. The cubic root of 5841605952 is about 1800.9877245676.

The spelling of 5841605952 in words is "five billion, eight hundred forty-one million, six hundred five thousand, nine hundred fifty-two".