21500069086080 has 2304 divisors, whose sum is σ = 90996700354560. Its totient is φ = 4816272752640.

The previous prime is 21500069086033. The next prime is 21500069086099. The reversal of 21500069086080 is 8068096000512.

21500069086080 is a `hidden beast` number, since 2 + 1 + 500 + 0 + 6 + 9 + 0 + 8 + 60 + 80 = 666.

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 287 ways as a sum of consecutive naturals, for example, 18112947247 + ... + 18112948433.

It is an arithmetic number, because the mean of its divisors is an integer number (39495095640).

Almost surely, 2^{21500069086080} is an apocalyptic number.

21500069086080 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 21500069086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45498350177280).

21500069086080 is an abundant number, since it is smaller than the sum of its proper divisors (69496631268480).

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

21500069086080 is a wasteful number, since it uses less digits than its factorization.

21500069086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 21500069086080 in words is "twenty-one trillion, five hundred billion, sixty-nine million, eighty-six thousand, eighty".