8016280188480 has 1008 divisors, whose sum is σ = 30710457573120. Its totient is φ = 1985762967552.

The previous prime is 8016280188473. The next prime is 8016280188481. The reversal of 8016280188480 is 848810826108.

8016280188480 is a `hidden beast` number, since 8 + 0 + 1 + 6 + 2 + 80 + 1 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8016280188481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2819653939 + ... + 2819656781.

Almost surely, 2^{8016280188480} is an apocalyptic number.

8016280188480 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 8016280188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355228786560).

8016280188480 is an abundant number, since it is smaller than the sum of its proper divisors (22694177384640).

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

8016280188480 is an equidigital number, since it uses as much as digits as its factorization.

8016280188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 8016280188480 in words is "eight trillion, sixteen billion, two hundred eighty million, one hundred eighty-eight thousand, four hundred eighty".