10120959520 has 384 divisors, whose sum is σ = 30869475840. Its totient is φ = 3052339200.

The previous prime is 10120959517. The next prime is 10120959521. The reversal of 10120959520 is 2595902101.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (10120959521) 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 63 ways as a sum of consecutive naturals, for example, 36537622 + ... + 36537898.

It is an arithmetic number, because the mean of its divisors is an integer number (80389260).

Almost surely, 2^10120959520 is an apocalyptic number.

10120959520 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 10120959520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434737920).

10120959520 is an abundant number, since it is smaller than the sum of its proper divisors (20748516320).

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

10120959520 is a wasteful number, since it uses less digits than its factorization.

10120959520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 34.

The spelling of 10120959520 in words is "ten billion, one hundred twenty million, nine hundred fifty-nine thousand, five hundred twenty".