10838625750 has 96 divisors (see below), whose sum is σ = 29438139744. Its totient is φ = 2877432000.

The previous prime is 10838625727. The next prime is 10838625751. The reversal of 10838625750 is 5752683801.

10838625750 is a `hidden beast` number, since 10 + 8 + 3 + 8 + 62 + 575 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10838625696 and 10838625705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838625751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500140 + ... + 521360.

It is an arithmetic number, because the mean of its divisors is an integer number (306647289).

Almost surely, 2^10838625750 is an apocalyptic number.

10838625750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10838625750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719069872).

10838625750 is an abundant number, since it is smaller than the sum of its proper divisors (18599513994).

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

10838625750 is a wasteful number, since it uses less digits than its factorization.

10838625750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21471 (or 21458 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10838625750 in words is "ten billion, eight hundred thirty-eight million, six hundred twenty-five thousand, seven hundred fifty".