21888549390400 has 1323 divisors, whose sum is σ = 71367553063821. Its totient is φ = 6602327424000.

The previous prime is 21888549390353. The next prime is 21888549390443. The reversal of 21888549390400 is 409394588812.

The square root of 21888549390400 is 4678520.

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

It can be written as a sum of positive squares in only one way, i.e., 7879877780544 + 14008671609856 = 2807112^2 + 3742816^2 .

It is a super-2 number, since 2×21888549390400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 706082238385 + ... + 706082238415.

Almost surely, 2^{21888549390400} is an apocalyptic number.

21888549390400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21888549390400 is the 4678520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21888549390400

21888549390400 is an abundant number, since it is smaller than the sum of its proper divisors (49479003673421).

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

21888549390400 is an frugal number, since it uses more digits than its factorization.

21888549390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 61.

The spelling of 21888549390400 in words is "twenty-one trillion, eight hundred eighty-eight billion, five hundred forty-nine million, three hundred ninety thousand, four hundred".