216119053026720 has 1728 divisors, whose sum is σ = 837595429961472. Its totient is φ = 52589150208000.

The previous prime is 216119053026697. The next prime is 216119053026797. The reversal of 216119053026720 is 27620350911612.

216119053026720 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 1 + 90 + 530 + 2 + 6 + 7 + 20 = 666.

It is a super-2 number, since 2×216119053026720² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 48664499700 + ... + 48664504140.

It is an arithmetic number, because the mean of its divisors is an integer number (484719577524).

Almost surely, 2^{216119053026720} is an apocalyptic number.

216119053026720 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 216119053026720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418797714980736).

216119053026720 is an abundant number, since it is smaller than the sum of its proper divisors (621476376934752).

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

216119053026720 is a wasteful number, since it uses less digits than its factorization.

216119053026720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 216119053026720 in words is "two hundred sixteen trillion, one hundred nineteen billion, fifty-three million, twenty-six thousand, seven hundred twenty".