10524987072 has 392 divisors, whose sum is σ = 34114191360. Its totient is φ = 3208066560.

The previous prime is 10524987071. The next prime is 10524987073. The reversal of 10524987072 is 27078942501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10524987071) and next prime (10524987073).

It is a super-2 number, since 2×10524987072² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10524987071) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27480193 + ... + 27480575.

Almost surely, 2^10524987072 is an apocalyptic number.

10524987072 is a gapful number since it is divisible by the number (12) 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 10524987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17057095680).

10524987072 is an abundant number, since it is smaller than the sum of its proper divisors (23589204288).

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

10524987072 is an equidigital number, since it uses as much as digits as its factorization.

10524987072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10524987072 in words is "ten billion, five hundred twenty-four million, nine hundred eighty-seven thousand, seventy-two".