10112507520 has 512 divisors, whose sum is σ = 35533209600. Its totient is φ = 2438430720.

The previous prime is 10112507513. The next prime is 10112507539. The reversal of 10112507520 is 2570521101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 113623636 + ... + 113623724.

It is an arithmetic number, because the mean of its divisors is an integer number (69400800).

Almost surely, 2^10112507520 is an apocalyptic number.

10112507520 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 10112507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766604800).

10112507520 is an abundant number, since it is smaller than the sum of its proper divisors (25420702080).

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

10112507520 is a wasteful number, since it uses less digits than its factorization.

10112507520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The spelling of 10112507520 in words is "ten billion, one hundred twelve million, five hundred seven thousand, five hundred twenty".