8051860080 has 800 divisors, whose sum is σ = 32512347648. Its totient is φ = 1828915200.

The previous prime is 8051860057. The next prime is 8051860181. The reversal of 8051860080 is 800681508.

8051860080 is a `hidden beast` number, since 8 + 0 + 518 + 60 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 113406445 + ... + 113406515.

Almost surely, 2^8051860080 is an apocalyptic number.

8051860080 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 8051860080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16256173824).

8051860080 is an abundant number, since it is smaller than the sum of its proper divisors (24460487568).

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

8051860080 is a wasteful number, since it uses less digits than its factorization.

8051860080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 8051860080 is about 89732.1574464807. The cubic root of 8051860080 is about 2004.3123683898.

The spelling of 8051860080 in words is "eight billion, fifty-one million, eight hundred sixty thousand, eighty".