21588382468900 has 243 divisors, whose sum is σ = 51372919084851. Its totient is φ = 7870957361280.

The previous prime is 21588382468843. The next prime is 21588382468903. The reversal of 21588382468900 is 986428388512.

The square root of 21588382468900 is 4646330.

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 5564437516836 + 16023944952064 = 2358906^2 + 4002992^2 .

It is not an unprimeable number, because it can be changed into a prime (21588382468903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 62214358527 + ... + 62214358873.

Almost surely, 2^{21588382468900} is an apocalyptic number.

21588382468900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21588382468900 is the 4646330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21588382468900

21588382468900 is an abundant number, since it is smaller than the sum of its proper divisors (29784536615951).

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

21588382468900 is a wasteful number, since it uses less digits than its factorization.

21588382468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 64.

The spelling of 21588382468900 in words is "twenty-one trillion, five hundred eighty-eight billion, three hundred eighty-two million, four hundred sixty-eight thousand, nine hundred".