10738348337520 has 60 divisors (see below), whose sum is σ = 36062953169256. Its totient is φ = 2863559556480.

The previous prime is 10738348337489. The next prime is 10738348337569. The reversal of 10738348337520 is 2573384383701.

10738348337520 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 8 + 3 + 4 + 83 + 37 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7457185626 + ... + 7457187065.

Almost surely, 2^{10738348337520} is an apocalyptic number.

10738348337520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10738348337520 is an abundant number, since it is smaller than the sum of its proper divisors (25324604831736).

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

10738348337520 is a wasteful number, since it uses less digits than its factorization.

10738348337520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14914372710 (or 14914372701 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 10738348337520 in words is "ten trillion, seven hundred thirty-eight billion, three hundred forty-eight million, three hundred thirty-seven thousand, five hundred twenty".