8016132833280 has 1656 divisors, whose sum is σ = 34113176335056. Its totient is φ = 1793819934720.

The previous prime is 8016132833251. The next prime is 8016132833287. The reversal of 8016132833280 is 823382316108.

8016132833280 is a `hidden beast` number, since 8 + 0 + 1 + 613 + 2 + 8 + 3 + 3 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8016132833287) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 616625602554 + ... + 616625602566.

Almost surely, 2^{8016132833280} is an apocalyptic number.

8016132833280 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 8016132833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17056588167528).

8016132833280 is an abundant number, since it is smaller than the sum of its proper divisors (26097043501776).

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

8016132833280 is an frugal number, since it uses more digits than its factorization.

8016132833280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 8016132833280 in words is "eight trillion, sixteen billion, one hundred thirty-two million, eight hundred thirty-three thousand, two hundred eighty".