21048459379600 has 45 divisors (see below), whose sum is σ = 50569144107123. Its totient is φ = 8419347048960.

The previous prime is 21048459379559. The next prime is 21048459379657. The reversal of 21048459379600 is 697395484012.

The square root of 21048459379600 is 4587860.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 174379737744 + 20874079641856 = 417588^2 + 4568816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91642504 + ... + 91871896.

It is a 1-persistent number, because it is pandigital, but 2⋅21048459379600 = 42096918759200 is not.

Almost surely, 2^{21048459379600} is an apocalyptic number.

21048459379600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21048459379600 is the 4587860-th square number.

It is an amenable number.

21048459379600 is an abundant number, since it is smaller than the sum of its proper divisors (29520684727523).

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

21048459379600 is an frugal number, since it uses more digits than its factorization.

21048459379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458804 (or 229400 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 21048459379600 in words is "twenty-one trillion, forty-eight billion, four hundred fifty-nine million, three hundred seventy-nine thousand, six hundred".