21102141859560 has 192 divisors, whose sum is σ = 72286419816000. Its totient is φ = 5324060759040.

The previous prime is 21102141859531. The next prime is 21102141859613. The reversal of 21102141859560 is 6595814120112.

21102141859560 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 2 + 1 + 4 + 1 + 85 + 9 + 560 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 3178231 + ... + 7232249.

It is an arithmetic number, because the mean of its divisors is an integer number (376491769875).

Almost surely, 2^{21102141859560} is an apocalyptic number.

21102141859560 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 21102141859560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36143209908000).

21102141859560 is an abundant number, since it is smaller than the sum of its proper divisors (51184277956440).

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

21102141859560 is a wasteful number, since it uses less digits than its factorization.

21102141859560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054816 (or 4054809 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

Adding to 21102141859560 its reverse (6595814120112), we get a palindrome (27697955979672).

The spelling of 21102141859560 in words is "twenty-one trillion, one hundred two billion, one hundred forty-one million, eight hundred fifty-nine thousand, five hundred sixty".