21214036610560 has 160 divisors (see below), whose sum is σ = 51099716194560. Its totient is φ = 8446375821312.

The previous prime is 21214036610539. The next prime is 21214036610609. The reversal of 21214036610560 is 6501663041212.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486795492 + ... + 486839068.

It is an arithmetic number, because the mean of its divisors is an integer number (319373226216).

Almost surely, 2^{21214036610560} is an apocalyptic number.

21214036610560 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 21214036610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25549858097280).

21214036610560 is an abundant number, since it is smaller than the sum of its proper divisors (29885679584000).

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

21214036610560 is an equidigital number, since it uses as much as digits as its factorization.

21214036610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44476 (or 44460 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

Adding to 21214036610560 its reverse (6501663041212), we get a palindrome (27715699651772).

The spelling of 21214036610560 in words is "twenty-one trillion, two hundred fourteen billion, thirty-six million, six hundred ten thousand, five hundred sixty".