21789931649760 has 1152 divisors, whose sum is σ = 84344996736000. Its totient is φ = 5093495930880.

The previous prime is 21789931649687. The next prime is 21789931649767. The reversal of 21789931649760 is 6794613998712.

21789931649760 is a `hidden beast` number, since 2 + 1 + 78 + 9 + 9 + 3 + 1 + 6 + 497 + 60 = 666.

It is a super-2 number, since 2×21789931649760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21789931649767) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7680623062 + ... + 7680625898.

It is an arithmetic number, because the mean of its divisors is an integer number (73216143000).

Almost surely, 2^{21789931649760} is an apocalyptic number.

21789931649760 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 21789931649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42172498368000).

21789931649760 is an abundant number, since it is smaller than the sum of its proper divisors (62555065086240).

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

21789931649760 is a wasteful number, since it uses less digits than its factorization.

21789931649760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 21789931649760 in words is "twenty-one trillion, seven hundred eighty-nine billion, nine hundred thirty-one million, six hundred forty-nine thousand, seven hundred sixty".