21117015600 has 120 divisors (see below), whose sum is σ = 68139128400. Its totient is φ = 5590056960.

The previous prime is 21117015593. The next prime is 21117015611. The reversal of 21117015600 is 651071112.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100176 + ... + 228624.

It is an arithmetic number, because the mean of its divisors is an integer number (567826070).

Almost surely, 2^21117015600 is an apocalyptic number.

21117015600 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 21117015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34069564200).

21117015600 is an abundant number, since it is smaller than the sum of its proper divisors (47022112800).

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

21117015600 is a wasteful number, since it uses less digits than its factorization.

21117015600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128607 (or 128596 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

Adding to 21117015600 its reverse (651071112), we get a palindrome (21768086712).

The spelling of 21117015600 in words is "twenty-one billion, one hundred seventeen million, fifteen thousand, six hundred".