10269141120 has 384 divisors, whose sum is σ = 42031866240. Its totient is φ = 2346983424.

The previous prime is 10269141079. The next prime is 10269141187. The reversal of 10269141120 is 2114196201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1083924 + ... + 1093356.

It is an arithmetic number, because the mean of its divisors is an integer number (109457985).

Almost surely, 2^10269141120 is an apocalyptic number.

10269141120 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 10269141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21015933120).

10269141120 is an abundant number, since it is smaller than the sum of its proper divisors (31762725120).

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

10269141120 is an frugal number, since it uses more digits than its factorization.

10269141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9474 (or 9450 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10269141120 in words is "ten billion, two hundred sixty-nine million, one hundred forty-one thousand, one hundred twenty".