10738925568 has 510 divisors, whose sum is σ = 38951155496. Its totient is φ = 2887778304.

The previous prime is 10738925567. The next prime is 10738925569. The reversal of 10738925568 is 86552983701.

10738925568 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 89 + 2 + 556 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10738925567) and next prime (10738925569).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10738925567) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 631701496 + ... + 631701512.

Almost surely, 2^10738925568 is an apocalyptic number.

10738925568 is a gapful number since it is divisible by the number (18) 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 10738925568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19475577748).

10738925568 is an abundant number, since it is smaller than the sum of its proper divisors (28212229928).

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

10738925568 is an frugal number, since it uses more digits than its factorization.

10738925568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 10738925568 in words is "ten billion, seven hundred thirty-eight million, nine hundred twenty-five thousand, five hundred sixty-eight".