21346331760 has 800 divisors, whose sum is σ = 83847633408. Its totient is φ = 4999034880.

The previous prime is 21346331731. The next prime is 21346331761. The reversal of 21346331760 is 6713364312.

21346331760 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 633 + 17 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21346331761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 257184679 + ... + 257184761.

Almost surely, 2^21346331760 is an apocalyptic number.

21346331760 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 21346331760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41923816704).

21346331760 is an abundant number, since it is smaller than the sum of its proper divisors (62501301648).

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

21346331760 is a wasteful number, since it uses less digits than its factorization.

21346331760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 21346331760 in words is "twenty-one billion, three hundred forty-six million, three hundred thirty-one thousand, seven hundred sixty".