21325213647360 has 800 divisors, whose sum is σ = 87361961512320. Its totient is φ = 4870407979008.

The previous prime is 21325213647347. The next prime is 21325213647433. The reversal of 21325213647360 is 6374631252312.

It is a happy number.

21325213647360 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 521 + 3 + 64 + 7 + 3 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2045186467 + ... + 2045196893.

Almost surely, 2^{21325213647360} is an apocalyptic number.

21325213647360 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 21325213647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43680980756160).

21325213647360 is an abundant number, since it is smaller than the sum of its proper divisors (66036747864960).

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

21325213647360 is a wasteful number, since it uses less digits than its factorization.

21325213647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11878 (or 11853 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

Adding to 21325213647360 its reverse (6374631252312), we get a palindrome (27699844899672).

The spelling of 21325213647360 in words is "twenty-one trillion, three hundred twenty-five billion, two hundred thirteen million, six hundred forty-seven thousand, three hundred sixty".