1389970260900 has 243 divisors, whose sum is σ = 4719262745379. Its totient is φ = 342033344640.

The previous prime is 1389970260793. The next prime is 1389970260901. The reversal of 1389970260900 is 90620799831.

The square root of 1389970260900 is 1178970.

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 358266890916 + 1031703369984 = 598554^2 + 1015728^2 .

It is not an unprimeable number, because it can be changed into a prime (1389970260901) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 459796789 + ... + 459799811.

Almost surely, 2^{1389970260900} is an apocalyptic number.

1389970260900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1389970260900 is the 1178970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1389970260900

1389970260900 is an abundant number, since it is smaller than the sum of its proper divisors (3329292484479).

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

1389970260900 is a wasteful number, since it uses less digits than its factorization.

1389970260900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1389970260900 in words is "one trillion, three hundred eighty-nine billion, nine hundred seventy million, two hundred sixty thousand, nine hundred".