21069275760 has 240 divisors, whose sum is σ = 76302408000. Its totient is φ = 5179355136.

The previous prime is 21069275753. The next prime is 21069275783. The reversal of 21069275760 is 6757296012.

21069275760 is a `hidden beast` number, since 2 + 10 + 69 + 2 + 7 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13093836 + ... + 13095444.

It is an arithmetic number, because the mean of its divisors is an integer number (317926700).

Almost surely, 2^21069275760 is an apocalyptic number.

21069275760 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 21069275760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38151204000).

21069275760 is an abundant number, since it is smaller than the sum of its proper divisors (55233132240).

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

21069275760 is a wasteful number, since it uses less digits than its factorization.

21069275760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 21069275760 in words is "twenty-one billion, sixty-nine million, two hundred seventy-five thousand, seven hundred sixty".