21253214002240 has 224 divisors, whose sum is σ = 55734479539200. Its totient is φ = 7655285790720.

The previous prime is 21253214002231. The next prime is 21253214002249. The reversal of 21253214002240 is 4220041235212.

It is an interprime number because it is at equal distance from previous prime (21253214002231) and next prime (21253214002249).

It is a junction number, because it is equal to n+sod(n) for n = 21253214002199 and 21253214002208.

It is not an unprimeable number, because it can be changed into a prime (21253214002249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214744447 + ... + 214843393.

It is an arithmetic number, because the mean of its divisors is an integer number (248814640800).

Almost surely, 2^{21253214002240} is an apocalyptic number.

21253214002240 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 21253214002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27867239769600).

21253214002240 is an abundant number, since it is smaller than the sum of its proper divisors (34481265536960).

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

21253214002240 is a wasteful number, since it uses less digits than its factorization.

21253214002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99553 (or 99543 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 21253214002240 its reverse (4220041235212), we get a palindrome (25473255237452).

The spelling of 21253214002240 in words is "twenty-one trillion, two hundred fifty-three billion, two hundred fourteen million, two thousand, two hundred forty".