21346490880 has 1440 divisors, whose sum is σ = 95088913920. Its totient is φ = 4379443200.

The previous prime is 21346490819. The next prime is 21346490909. The reversal of 21346490880 is 8809464312.

It is a happy number.

21346490880 is a `hidden beast` number, since 21 + 3 + 464 + 90 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 688596465 + ... + 688596495.

It is an arithmetic number, because the mean of its divisors is an integer number (66033968).

Almost surely, 2^21346490880 is an apocalyptic number.

21346490880 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 21346490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47544456960).

21346490880 is an abundant number, since it is smaller than the sum of its proper divisors (73742423040).

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

21346490880 is a wasteful number, since it uses less digits than its factorization.

21346490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 21346490880 in words is "twenty-one billion, three hundred forty-six million, four hundred ninety thousand, eight hundred eighty".