21611687086080 has 3840 divisors, whose sum is σ = 101649887539200. Its totient is φ = 4267329454080.

The previous prime is 21611687086063. The next prime is 21611687086081. The reversal of 21611687086080 is 8068078611612.

It is a happy number.

21611687086080 is a `hidden beast` number, since 2 + 16 + 1 + 16 + 8 + 7 + 0 + 8 + 608 + 0 = 666.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (21611687086081) 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, 102425057175 + ... + 102425057385.

It is an arithmetic number, because the mean of its divisors is an integer number (26471324880).

Almost surely, 2^{21611687086080} is an apocalyptic number.

21611687086080 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 21611687086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50824943769600).

21611687086080 is an abundant number, since it is smaller than the sum of its proper divisors (80038200453120).

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

21611687086080 is a wasteful number, since it uses less digits than its factorization.

21611687086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 21611687086080 in words is "twenty-one trillion, six hundred eleven billion, six hundred eighty-seven million, eighty-six thousand, eighty".