16620879906288 has 480 divisors, whose sum is σ = 55779104908800. Its totient is φ = 4519820519424.

The previous prime is 16620879906223. The next prime is 16620879906313. The reversal of 16620879906288 is 88260997802661.

16620879906288 is a `hidden beast` number, since 166 + 20 + 87 + 9 + 90 + 6 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1133054218 + ... + 1133068886.

It is an arithmetic number, because the mean of its divisors is an integer number (116206468560).

Almost surely, 2^{16620879906288} is an apocalyptic number.

16620879906288 is a gapful number since it is divisible by the number (18) 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 16620879906288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27889552454400).

16620879906288 is an abundant number, since it is smaller than the sum of its proper divisors (39158225002512).

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

16620879906288 is a wasteful number, since it uses less digits than its factorization.

16620879906288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15269 (or 15260 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 16620879906288 in words is "sixteen trillion, six hundred twenty billion, eight hundred seventy-nine million, nine hundred six thousand, two hundred eighty-eight".