21029769288 has 128 divisors (see below), whose sum is σ = 63772905600. Its totient is φ = 6368025600.

The previous prime is 21029769287. The next prime is 21029769317. The reversal of 21029769288 is 88296792012.

21029769288 is a `hidden beast` number, since 2 + 10 + 297 + 69 + 288 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21029769287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4733148 + ... + 4737588.

It is an arithmetic number, because the mean of its divisors is an integer number (498225825).

Almost surely, 2^21029769288 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 21029769288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31886452800).

21029769288 is an abundant number, since it is smaller than the sum of its proper divisors (42743136312).

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

21029769288 is a wasteful number, since it uses less digits than its factorization.

21029769288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 21029769288 in words is "twenty-one billion, twenty-nine million, seven hundred sixty-nine thousand, two hundred eighty-eight".