21919550151168 has 800 divisors, whose sum is σ = 71600830646400. Its totient is φ = 6621008283648.

The previous prime is 21919550151167. The next prime is 21919550151203. The reversal of 21919550151168 is 86115105591912.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

21919550151168 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 9 + 550 + 15 + 11 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 21919550151168 = 3496³ + 27968³ = 15732³ + 26220³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21919550151167) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 953023919605 + ... + 953023919627.

It is an arithmetic number, because the mean of its divisors is an integer number (89501038308).

Almost surely, 2^{21919550151168} 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 21919550151168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35800415323200).

21919550151168 is an abundant number, since it is smaller than the sum of its proper divisors (49681280495232).

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

21919550151168 is an frugal number, since it uses more digits than its factorization.

21919550151168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 54.

The spelling of 21919550151168 in words is "twenty-one trillion, nine hundred nineteen billion, five hundred fifty million, one hundred fifty-one thousand, one hundred sixty-eight".