21082314959640 has 384 divisors, whose sum is σ = 75041200915200. Its totient is φ = 5090735232000.

The previous prime is 21082314959509. The next prime is 21082314959653. The reversal of 21082314959640 is 4695941328012.

It is a happy number.

21082314959640 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 2 + 3 + 1 + 4 + 9 + 596 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1548000751 + ... + 1548014369.

It is an arithmetic number, because the mean of its divisors is an integer number (195419794050).

Almost surely, 2^{21082314959640} is an apocalyptic number.

21082314959640 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 21082314959640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37520600457600).

21082314959640 is an abundant number, since it is smaller than the sum of its proper divisors (53958885955560).

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

21082314959640 is a wasteful number, since it uses less digits than its factorization.

21082314959640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15159 (or 15152 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 21082314959640 in words is "twenty-one trillion, eighty-two billion, three hundred fourteen million, nine hundred fifty-nine thousand, six hundred forty".