20380417600 has 189 divisors, whose sum is σ = 51967962993. Its totient is φ = 7866647040.

The previous prime is 20380417597. The next prime is 20380417657. The reversal of 20380417600 is 671408302.

The square root of 20380417600 is 142760.

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., 7336950336 + 13043467264 = 85656^2 + 114208^2 .

It is a super-2 number, since 2×20380417600² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 245547159 + ... + 245547241.

Almost surely, 2^20380417600 is an apocalyptic number.

20380417600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20380417600 is the 142760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20380417600

20380417600 is an abundant number, since it is smaller than the sum of its proper divisors (31587545393).

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

20380417600 is an frugal number, since it uses more digits than its factorization.

20380417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 20380417600 in words is "twenty billion, three hundred eighty million, four hundred seventeen thousand, six hundred".