21928779468288 has 2240 divisors, whose sum is σ = 85625760743424. Its totient is φ = 5441955840000.

The previous prime is 21928779468259. The next prime is 21928779468307. The reversal of 21928779468288 is 88286497782912.

21928779468288 is a `hidden beast` number, since 2 + 1 + 9 + 2 + 8 + 7 + 79 + 468 + 2 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 134532389295 + ... + 134532389457.

Almost surely, 2^{21928779468288} is an apocalyptic number.

21928779468288 is a gapful number since it is divisible by the number (28) 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 21928779468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42812880371712).

21928779468288 is an abundant number, since it is smaller than the sum of its proper divisors (63696981275136).

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

21928779468288 is a wasteful number, since it uses less digits than its factorization.

21928779468288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 368 counting only the distinct ones).

The product of its digits is 3121348608, while the sum is 81.

The spelling of 21928779468288 in words is "twenty-one trillion, nine hundred twenty-eight billion, seven hundred seventy-nine million, four hundred sixty-eight thousand, two hundred eighty-eight".