21083814455760 has 1920 divisors, whose sum is σ = 92165621022720. Its totient is φ = 4333036032000.

The previous prime is 21083814455719. The next prime is 21083814455819. The reversal of 21083814455760 is 6755441838012.

It is a happy number.

21083814455760 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 3 + 81 + 4 + 4 + 557 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21083814455697 and 21083814455706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8968018585 + ... + 8968020935.

It is an arithmetic number, because the mean of its divisors is an integer number (48002927616).

Almost surely, 2^{21083814455760} is an apocalyptic number.

21083814455760 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 21083814455760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46082810511360).

21083814455760 is an abundant number, since it is smaller than the sum of its proper divisors (71081806566960).

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

21083814455760 is a wasteful number, since it uses less digits than its factorization.

21083814455760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 21083814455760 in words is "twenty-one trillion, eighty-three billion, eight hundred fourteen million, four hundred fifty-five thousand, seven hundred sixty".