10789291120 has 20 divisors (see below), whose sum is σ = 25085102040. Its totient is φ = 4315716416.

The previous prime is 10789291039. The next prime is 10789291127. The reversal of 10789291120 is 2119298701.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10789291120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10789291127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67432990 + ... + 67433149.

It is an arithmetic number, because the mean of its divisors is an integer number (1254255102).

Almost surely, 2^10789291120 is an apocalyptic number.

10789291120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10789291120 is an abundant number, since it is smaller than the sum of its proper divisors (14295810920).

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

10789291120 is a wasteful number, since it uses less digits than its factorization.

10789291120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134866152 (or 134866146 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 40.

The spelling of 10789291120 in words is "ten billion, seven hundred eighty-nine million, two hundred ninety-one thousand, one hundred twenty".