21169145088 has 432 divisors, whose sum is σ = 77568132096. Its totient is φ = 5401313280.

The previous prime is 21169145077. The next prime is 21169145111. The reversal of 21169145088 is 88054196112.

It is a happy number.

21169145088 is a `hidden beast` number, since 2 + 116 + 9 + 1 + 450 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6497956 + ... + 6501212.

Almost surely, 2^21169145088 is an apocalyptic number.

21169145088 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 21169145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38784066048).

21169145088 is an abundant number, since it is smaller than the sum of its proper divisors (56398987008).

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

21169145088 is a wasteful number, since it uses less digits than its factorization.

21169145088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 21169145088 in words is "twenty-one billion, one hundred sixty-nine million, one hundred forty-five thousand, eighty-eight".