339985529890560 has 864 divisors, whose sum is σ = 1220593760096256. Its totient is φ = 87281639424000.

The previous prime is 339985529890493. The next prime is 339985529890673. The reversal of 339985529890560 is 65098925589933.

339985529890560 is a `hidden beast` number, since 3 + 3 + 9 + 9 + 8 + 5 + 529 + 89 + 0 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×339985529890560² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 339985529890560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69342345069 + ... + 69342349971.

Almost surely, 2^{339985529890560} is an apocalyptic number.

339985529890560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339985529890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610296880048128).

339985529890560 is an abundant number, since it is smaller than the sum of its proper divisors (880608230205696).

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

339985529890560 is a wasteful number, since it uses less digits than its factorization.

339985529890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 5668704000, while the sum is 81.

The spelling of 339985529890560 in words is "three hundred thirty-nine trillion, nine hundred eighty-five billion, five hundred twenty-nine million, eight hundred ninety thousand, five hundred sixty".