10273509120 has 288 divisors, whose sum is σ = 38711070720. Its totient is φ = 2272296960.

The previous prime is 10273509109. The next prime is 10273509137. The reversal of 10273509120 is 2190537201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 827116 + ... + 839444.

It is an arithmetic number, because the mean of its divisors is an integer number (134413440).

Almost surely, 2^10273509120 is an apocalyptic number.

10273509120 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 10273509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355535360).

10273509120 is an abundant number, since it is smaller than the sum of its proper divisors (28437561600).

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

10273509120 is a wasteful number, since it uses less digits than its factorization.

10273509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12391 (or 12377 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 10273509120 in words is "ten billion, two hundred seventy-three million, five hundred nine thousand, one hundred twenty".