5857658400 has 432 divisors, whose sum is σ = 21893723712. Its totient is φ = 1356748800.

The previous prime is 5857658399. The next prime is 5857658449. The reversal of 5857658400 is 48567585.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5857658400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6678762 + ... + 6679638.

It is an arithmetic number, because the mean of its divisors is an integer number (50679916).

Almost surely, 2^5857658400 is an apocalyptic number.

5857658400 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 5857658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10946861856).

5857658400 is an abundant number, since it is smaller than the sum of its proper divisors (16036065312).

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

5857658400 is a wasteful number, since it uses less digits than its factorization.

5857658400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The square root of 5857658400 is about 76535.3408563652. The cubic root of 5857658400 is about 1802.6358912452.

The spelling of 5857658400 in words is "five billion, eight hundred fifty-seven million, six hundred fifty-eight thousand, four hundred".