8052981120 has 384 divisors, whose sum is σ = 29412059040. Its totient is φ = 2104786944.

The previous prime is 8052981091. The next prime is 8052981121. The reversal of 8052981120 is 211892508.

8052981120 is a `hidden beast` number, since 8 + 0 + 529 + 8 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8052981121) 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, 8242072 + ... + 8243048.

Almost surely, 2^8052981120 is an apocalyptic number.

8052981120 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 8052981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14706029520).

8052981120 is an abundant number, since it is smaller than the sum of its proper divisors (21359077920).

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

8052981120 is an equidigital number, since it uses as much as digits as its factorization.

8052981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 8052981120 is about 89738.4038191008. The cubic root of 8052981120 is about 2004.4053825110.

The spelling of 8052981120 in words is "eight billion, fifty-two million, nine hundred eighty-one thousand, one hundred twenty".