5801616624 has 20 divisors (see below), whose sum is σ = 14987509736. Its totient is φ = 1933872192.

The previous prime is 5801616619. The next prime is 5801616629. The reversal of 5801616624 is 4266161085.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5801616619) and next prime (5801616629).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5801616629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60433459 + ... + 60433554.

Almost surely, 2^5801616624 is an apocalyptic number.

It is an amenable number.

5801616624 is an abundant number, since it is smaller than the sum of its proper divisors (9185893112).

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

5801616624 is a wasteful number, since it uses less digits than its factorization.

5801616624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120867024 (or 120867018 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 5801616624 is about 76168.3439756964. The cubic root of 5801616624 is about 1796.8686941657.

The spelling of 5801616624 in words is "five billion, eight hundred one million, six hundred sixteen thousand, six hundred twenty-four".