10738987829688 has 128 divisors (see below), whose sum is σ = 28369720811520. Its totient is φ = 3382230660480.

The previous prime is 10738987829653. The next prime is 10738987829699. The reversal of 10738987829688 is 88692878983701.

It is a self number, because there is not a number n which added to its sum of digits gives 10738987829688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78856231 + ... + 78992297.

It is an arithmetic number, because the mean of its divisors is an integer number (221638443840).

Almost surely, 2^{10738987829688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10738987829688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14184860405760).

10738987829688 is an abundant number, since it is smaller than the sum of its proper divisors (17630732981832).

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

10738987829688 is a wasteful number, since it uses less digits than its factorization.

10738987829688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138617 (or 138613 counting only the distinct ones).

The product of its (nonzero) digits is 4682022912, while the sum is 84.

The spelling of 10738987829688 in words is "ten trillion, seven hundred thirty-eight billion, nine hundred eighty-seven million, eight hundred twenty-nine thousand, six hundred eighty-eight".