216653002020 has 1728 divisors, whose sum is σ = 939412131840. Its totient is φ = 40720610304.

The previous prime is 216653002003. The next prime is 216653002031. The reversal of 216653002020 is 20200356612.

216653002020 is a `hidden beast` number, since 2 + 1 + 6 + 653 + 0 + 0 + 2 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3672084751 + ... + 3672084809.

It is an arithmetic number, because the mean of its divisors is an integer number (543641280).

Almost surely, 2^216653002020 is an apocalyptic number.

216653002020 is a gapful number since it is divisible by the number (20) 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 216653002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469706065920).

216653002020 is an abundant number, since it is smaller than the sum of its proper divisors (722759129820).

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

216653002020 is a wasteful number, since it uses less digits than its factorization.

216653002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 216653002020 its reverse (20200356612), we get a palindrome (236853358632).

The spelling of 216653002020 in words is "two hundred sixteen billion, six hundred fifty-three million, two thousand, twenty".