5878656000 has 792 divisors, whose sum is σ = 25140369696. Its totient is φ = 1343692800.

The previous prime is 5878655987. The next prime is 5878656013. The reversal of 5878656000 is 6568785.

5878656000 is a `hidden beast` number, since 5 + 8 + 7 + 86 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5878655987) and next prime (5878656013).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 839807997 + ... + 839808003.

Almost surely, 2^5878656000 is an apocalyptic number.

5878656000 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 5878656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12570184848).

5878656000 is an abundant number, since it is smaller than the sum of its proper divisors (19261713696).

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

5878656000 is an frugal number, since it uses more digits than its factorization.

5878656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5878656000 is about 76672.3939889710. The cubic root of 5878656000 is about 1804.7872565873.

The spelling of 5878656000 in words is "five billion, eight hundred seventy-eight million, six hundred fifty-six thousand".