10339938938880 has 832 divisors, whose sum is σ = 38640551040000. Its totient is φ = 2618011680768.

The previous prime is 10339938938867. The next prime is 10339938939073. The reversal of 10339938938880 is 8883983993301.

It is a happy number.

10339938938880 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 9 + 93 + 89 + 388 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10339938938799 and 10339938938808.

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 63 ways as a sum of consecutive naturals, for example, 1767810196 + ... + 1767816044.

It is an arithmetic number, because the mean of its divisors is an integer number (46442970000).

Almost surely, 2^{10339938938880} is an apocalyptic number.

10339938938880 is a gapful number since it is divisible by the number (10) 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 10339938938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19320275520000).

10339938938880 is an abundant number, since it is smaller than the sum of its proper divisors (28300612101120).

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

10339938938880 is a wasteful number, since it uses less digits than its factorization.

10339938938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6049 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 10339938938880 in words is "ten trillion, three hundred thirty-nine billion, nine hundred thirty-eight million, nine hundred thirty-eight thousand, eight hundred eighty".