21165903360 has 480 divisors, whose sum is σ = 84262464000. Its totient is φ = 4809867264.

The previous prime is 21165903331. The next prime is 21165903377. The reversal of 21165903360 is 6330956112.

21165903360 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 590 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 42416391 + ... + 42416889.

It is an arithmetic number, because the mean of its divisors is an integer number (175546800).

Almost surely, 2^21165903360 is an apocalyptic number.

21165903360 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 21165903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42131232000).

21165903360 is an abundant number, since it is smaller than the sum of its proper divisors (63096560640).

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

21165903360 is a wasteful number, since it uses less digits than its factorization.

21165903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 21165903360 in words is "twenty-one billion, one hundred sixty-five million, nine hundred three thousand, three hundred sixty".