21769335840 has 576 divisors, whose sum is σ = 83674321920. Its totient is φ = 4737761280.

The previous prime is 21769335829. The next prime is 21769335857. The reversal of 21769335840 is 4853396712.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21769335840.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 53225556 + ... + 53225964.

It is an arithmetic number, because the mean of its divisors is an integer number (145267920).

It is a 1-persistent number, because it is pandigital, but 2⋅21769335840 = 43538671680 is not.

Almost surely, 2^21769335840 is an apocalyptic number.

21769335840 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 21769335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41837160960).

21769335840 is an abundant number, since it is smaller than the sum of its proper divisors (61904986080).

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

21769335840 is a wasteful number, since it uses less digits than its factorization.

21769335840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 21769335840 in words is "twenty-one billion, seven hundred sixty-nine million, three hundred thirty-five thousand, eight hundred forty".