5707008000 has 288 divisors, whose sum is σ = 20578947480. Its totient is φ = 1521254400.

The previous prime is 5707007987. The next prime is 5707008007. The reversal of 5707008000 is 8007075.

It can be written as a sum of positive squares in 4 ways, for example, as 1680344064 + 4026663936 = 40992^2 + 63456^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5707008007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2302762 + ... + 2305238.

Almost surely, 2^5707008000 is an apocalyptic number.

5707008000 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 5707008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289473740).

5707008000 is an abundant number, since it is smaller than the sum of its proper divisors (14871939480).

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

5707008000 is a wasteful number, since it uses less digits than its factorization.

5707008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 5707008000 is about 75544.7417097974. The cubic root of 5707008000 is about 1787.0477640562.

The spelling of 5707008000 in words is "five billion, seven hundred seven million, eight thousand".