21911867228160 has 2268 divisors, whose sum is σ = 98815045600908. Its totient is φ = 4623163195392.

The previous prime is 21911867228143. The next prime is 21911867228161. The reversal of 21911867228160 is 6182276811912.

21911867228160 is a `hidden beast` number, since 2 + 191 + 18 + 67 + 228 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5393690394624 + 16518176833536 = 2322432^2 + 4064256^2 .

It is a tau number, because it is divible by the number of its divisors (2268).

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

It is a junction number, because it is equal to n+sod(n) for n = 21911867228097 and 21911867228106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21911867228161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1685528248314 + ... + 1685528248326.

Almost surely, 2^{21911867228160} is an apocalyptic number.

21911867228160 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 21911867228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49407522800454).

21911867228160 is an abundant number, since it is smaller than the sum of its proper divisors (76903178372748).

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

21911867228160 is an frugal number, since it uses more digits than its factorization.

21911867228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 21911867228160 in words is "twenty-one trillion, nine hundred eleven billion, eight hundred sixty-seven million, two hundred twenty-eight thousand, one hundred sixty".