10738033920 has 864 divisors, whose sum is σ = 42855321600. Its totient is φ = 2561974272.

The previous prime is 10738033913. The next prime is 10738033931. The reversal of 10738033920 is 2933083701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135924441 + ... + 135924519.

Almost surely, 2^10738033920 is an apocalyptic number.

10738033920 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 10738033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427660800).

10738033920 is an abundant number, since it is smaller than the sum of its proper divisors (32117287680).

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

10738033920 is an equidigital number, since it uses as much as digits as its factorization.

10738033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10738033920 in words is "ten billion, seven hundred thirty-eight million, thirty-three thousand, nine hundred twenty".