1516022006220 has 144 divisors (see below), whose sum is σ = 4647998103840. Its totient is φ = 399950035968.

The previous prime is 1516022006203. The next prime is 1516022006221. The reversal of 1516022006220 is 226002206151.

1516022006220 is a `hidden beast` number, since 1 + 5 + 16 + 0 + 2 + 20 + 0 + 622 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1516022006221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7120471 + ... + 7330289.

It is an arithmetic number, because the mean of its divisors is an integer number (32277764610).

Almost surely, 2^{1516022006220} is an apocalyptic number.

1516022006220 is a gapful number since it is divisible by the number (10) 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 1516022006220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323999051920).

1516022006220 is an abundant number, since it is smaller than the sum of its proper divisors (3131976097620).

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

1516022006220 is a wasteful number, since it uses less digits than its factorization.

1516022006220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210264 (or 210259 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1516022006220 in words is "one trillion, five hundred sixteen billion, twenty-two million, six thousand, two hundred twenty".