8052480000 has 480 divisors, whose sum is σ = 29935105200. Its totient is φ = 2138112000.

The previous prime is 8052479987. The next prime is 8052480013. The reversal of 8052480000 is 842508.

It is an interprime number because it is at equal distance from previous prime (8052479987) and next prime (8052480013).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 34559884 + ... + 34560116.

Almost surely, 2^8052480000 is an apocalyptic number.

8052480000 is a gapful number since it is divisible by the number (80) 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 8052480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967552600).

8052480000 is an abundant number, since it is smaller than the sum of its proper divisors (21882625200).

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

8052480000 is an equidigital number, since it uses as much as digits as its factorization.

8052480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8052480000 is about 89735.6116600316. The cubic root of 8052480000 is about 2004.3638050113.

The spelling of 8052480000 in words is "eight billion, fifty-two million, four hundred eighty thousand".