21069789511680 has 4320 divisors, whose sum is σ = 101026690128000. Its totient is φ = 4039718731776.

The previous prime is 21069789511637. The next prime is 21069789511769. The reversal of 21069789511680 is 8611598796012.

21069789511680 is a `hidden beast` number, since 2 + 106 + 9 + 7 + 8 + 9 + 511 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 726544465906 + ... + 726544465934.

It is an arithmetic number, because the mean of its divisors is an integer number (23385807900).

Almost surely, 2^{21069789511680} is an apocalyptic number.

21069789511680 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 21069789511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50513345064000).

21069789511680 is an abundant number, since it is smaller than the sum of its proper divisors (79956900616320).

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

21069789511680 is a wasteful number, since it uses less digits than its factorization.

21069789511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 21069789511680 in words is "twenty-one trillion, sixty-nine billion, seven hundred eighty-nine million, five hundred eleven thousand, six hundred eighty".