21118255485600 has 2304 divisors, whose sum is σ = 90925860372480. Its totient is φ = 4137954508800.

The previous prime is 21118255485521. The next prime is 21118255485659. The reversal of 21118255485600 is 658455281112.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21118255485600.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18158430619 + ... + 18158431781.

It is an arithmetic number, because the mean of its divisors is an integer number (39464349120).

Almost surely, 2^{21118255485600} is an apocalyptic number.

21118255485600 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 21118255485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45462930186240).

21118255485600 is an abundant number, since it is smaller than the sum of its proper divisors (69807604886880).

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

21118255485600 is a wasteful number, since it uses less digits than its factorization.

21118255485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 48.

The spelling of 21118255485600 in words is "twenty-one trillion, one hundred eighteen billion, two hundred fifty-five million, four hundred eighty-five thousand, six hundred".