5857809408 has 528 divisors, whose sum is σ = 20386154880. Its totient is φ = 1654456320.

The previous prime is 5857809407. The next prime is 5857809409. The reversal of 5857809408 is 8049087585.

It is an interprime number because it is at equal distance from previous prime (5857809407) and next prime (5857809409).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5857809407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56871885 + ... + 56871987.

Almost surely, 2^5857809408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5857809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10193077440).

5857809408 is an abundant number, since it is smaller than the sum of its proper divisors (14528345472).

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

5857809408 is a wasteful number, since it uses less digits than its factorization.

5857809408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 5857809408 is about 76536.3273746526. The cubic root of 5857809408 is about 1802.6513815136.

The spelling of 5857809408 in words is "five billion, eight hundred fifty-seven million, eight hundred nine thousand, four hundred eight".