21390127349760 has 960 divisors, whose sum is σ = 86721299481600. Its totient is φ = 4955427569664.

The previous prime is 21390127349749. The next prime is 21390127349761. The reversal of 21390127349760 is 6794372109312.

21390127349760 is a `hidden beast` number, since 2 + 1 + 3 + 90 + 1 + 2 + 7 + 3 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×21390127349760² (a number of 27 digits) contains 22 as substring.

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 = 21390127349697 and 21390127349706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21390127349761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 488794761 + ... + 488838519.

It is an arithmetic number, because the mean of its divisors is an integer number (90334686960).

Almost surely, 2^{21390127349760} is an apocalyptic number.

21390127349760 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 21390127349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43360649740800).

21390127349760 is an abundant number, since it is smaller than the sum of its proper divisors (65331172131840).

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

21390127349760 is a wasteful number, since it uses less digits than its factorization.

21390127349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43831 (or 43799 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 21390127349760 in words is "twenty-one trillion, three hundred ninety billion, one hundred twenty-seven million, three hundred forty-nine thousand, seven hundred sixty".