21152530521360 has 960 divisors, whose sum is σ = 84009983016960. Its totient is φ = 4669735587840.

The previous prime is 21152530521359. The next prime is 21152530521373. The reversal of 21152530521360 is 6312503525112.

21152530521360 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 2 + 530 + 52 + 13 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6997196809 + ... + 6997199831.

It is an arithmetic number, because the mean of its divisors is an integer number (87510398976).

Almost surely, 2^{21152530521360} is an apocalyptic number.

21152530521360 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 21152530521360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42004991508480).

21152530521360 is an abundant number, since it is smaller than the sum of its proper divisors (62857452495600).

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

21152530521360 is a wasteful number, since it uses less digits than its factorization.

21152530521360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 21152530521360 in words is "twenty-one trillion, one hundred fifty-two billion, five hundred thirty million, five hundred twenty-one thousand, three hundred sixty".