21749142764160 has 896 divisors, whose sum is σ = 89434176226560. Its totient is φ = 4952135024640.

The previous prime is 21749142764143. The next prime is 21749142764161. The reversal of 21749142764160 is 6146724194712.

It is a happy number.

21749142764160 is a `hidden beast` number, since 2 + 1 + 7 + 491 + 42 + 76 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 = 21749142764097 and 21749142764106.

It is not an unprimeable number, because it can be changed into a prime (21749142764161) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 858924300 + ... + 858949620.

Almost surely, 2^{21749142764160} is an apocalyptic number.

21749142764160 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 21749142764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44717088113280).

21749142764160 is an abundant number, since it is smaller than the sum of its proper divisors (67685033462400).

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

21749142764160 is an equidigital number, since it uses as much as digits as its factorization.

21749142764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25628 (or 25601 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 21749142764160 in words is "twenty-one trillion, seven hundred forty-nine billion, one hundred forty-two million, seven hundred sixty-four thousand, one hundred sixty".