10735920000 has 960 divisors, whose sum is σ = 44075391360. Its totient is φ = 2488320000.

The previous prime is 10735919983. The next prime is 10735920017. The reversal of 10735920000 is 2953701.

10735920000 is a `hidden beast` number, since 1 + 0 + 73 + 592 + 0 + 0 + 0 + 0 = 666.

10735920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10735919983) and next prime (10735920017).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 290159982 + ... + 290160018.

It is an arithmetic number, because the mean of its divisors is an integer number (45911866).

Almost surely, 2^10735920000 is an apocalyptic number.

10735920000 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 10735920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22037695680).

10735920000 is an abundant number, since it is smaller than the sum of its proper divisors (33339471360).

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

10735920000 is a wasteful number, since it uses less digits than its factorization.

10735920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 10735920000 in words is "ten billion, seven hundred thirty-five million, nine hundred twenty thousand".