21061582080000 has 3840 divisors, whose sum is σ = 96676573593600. Its totient is φ = 3941498880000.

The previous prime is 21061582079999. The next prime is 21061582080001. The reversal of 21061582080000 is 8028516012.

It is an interprime number because it is at equal distance from previous prime (21061582079999) and next prime (21061582080001).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (21061582080001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 129212159919 + ... + 129212160081.

It is an arithmetic number, because the mean of its divisors is an integer number (25176191040).

Almost surely, 2^{21061582080000} is an apocalyptic number.

21061582080000 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 21061582080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48338286796800).

21061582080000 is an abundant number, since it is smaller than the sum of its proper divisors (75614991513600).

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

21061582080000 is a wasteful number, since it uses less digits than its factorization.

21061582080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 21061582080000 in words is "twenty-one trillion, sixty-one billion, five hundred eighty-two million, eighty thousand".