10738974800 has 240 divisors, whose sum is σ = 29439812160. Its totient is φ = 3739115520.

The previous prime is 10738974769. The next prime is 10738974853. The reversal of 10738974800 is 847983701.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5554634 + ... + 5556566.

It is an arithmetic number, because the mean of its divisors is an integer number (122665884).

Almost surely, 2^10738974800 is an apocalyptic number.

10738974800 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 10738974800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719906080).

10738974800 is an abundant number, since it is smaller than the sum of its proper divisors (18700837360).

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

10738974800 is a wasteful number, since it uses less digits than its factorization.

10738974800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 10738974800 in words is "ten billion, seven hundred thirty-eight million, nine hundred seventy-four thousand, eight hundred".