10247915520 has 576 divisors, whose sum is σ = 39003793920. Its totient is φ = 2477260800.

The previous prime is 10247915467. The next prime is 10247915543. The reversal of 10247915520 is 2551974201.

10247915520 is a `hidden beast` number, since 1 + 0 + 2 + 47 + 91 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 48568215 + ... + 48568425.

It is an arithmetic number, because the mean of its divisors is an integer number (67714920).

Almost surely, 2^10247915520 is an apocalyptic number.

10247915520 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 10247915520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19501896960).

10247915520 is an abundant number, since it is smaller than the sum of its proper divisors (28755878400).

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

10247915520 is a wasteful number, since it uses less digits than its factorization.

10247915520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10247915520 in words is "ten billion, two hundred forty-seven million, nine hundred fifteen thousand, five hundred twenty".