8016065508420 has 288 divisors, whose sum is σ = 24772840092000. Its totient is φ = 2097816010752.

The previous prime is 8016065508419. The next prime is 8016065508541. The reversal of 8016065508420 is 248055606108.

8016065508420 is a `hidden beast` number, since 8 + 0 + 1 + 60 + 65 + 508 + 4 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1737793608516 + 6278271899904 = 1318254^2 + 2505648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1417014232 + ... + 1417019888.

It is an arithmetic number, because the mean of its divisors is an integer number (86016805875).

Almost surely, 2^{8016065508420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8016065508420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12386420046000).

8016065508420 is an abundant number, since it is smaller than the sum of its proper divisors (16756774583580).

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

8016065508420 is a wasteful number, since it uses less digits than its factorization.

8016065508420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 8016065508420 in words is "eight trillion, sixteen billion, sixty-five million, five hundred eight thousand, four hundred twenty".