21603220013600 has 144 divisors (see below), whose sum is σ = 53418907533600. Its totient is φ = 8530036224000.

The previous prime is 21603220013581. The next prime is 21603220013653. The reversal of 21603220013600 is 631002230612.

It is a super-2 number, since 2×21603220013600² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21603220013600.

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, 79610951 + ... + 79881849.

It is an arithmetic number, because the mean of its divisors is an integer number (370964635650).

Almost surely, 2^{21603220013600} is an apocalyptic number.

21603220013600 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 21603220013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26709453766800).

21603220013600 is an abundant number, since it is smaller than the sum of its proper divisors (31815687520000).

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

21603220013600 is a wasteful number, since it uses less digits than its factorization.

21603220013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272203 (or 272190 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 21603220013600 in words is "twenty-one trillion, six hundred three billion, two hundred twenty million, thirteen thousand, six hundred".