21587814028320 has 192 divisors, whose sum is σ = 68977990658304. Its totient is φ = 5674196828160.

The previous prime is 21587814028273. The next prime is 21587814028337. The reversal of 21587814028320 is 2382041878512.

21587814028320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53867080 + ... + 54266360.

It is an arithmetic number, because the mean of its divisors is an integer number (359260368012).

Almost surely, 2^{21587814028320} is an apocalyptic number.

21587814028320 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 21587814028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34488995329152).

21587814028320 is an abundant number, since it is smaller than the sum of its proper divisors (47390176629984).

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

21587814028320 is a wasteful number, since it uses less digits than its factorization.

21587814028320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400915 (or 400907 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 21587814028320 in words is "twenty-one trillion, five hundred eighty-seven billion, eight hundred fourteen million, twenty-eight thousand, three hundred twenty".