10488241152 has 352 divisors, whose sum is σ = 32699596800. Its totient is φ = 3316432896.

The previous prime is 10488241139. The next prime is 10488241177. The reversal of 10488241152 is 25114288401.

10488241152 is a `hidden beast` number, since 1 + 0 + 488 + 24 + 1 + 152 = 666.

It is a super-2 number, since 2×10488241152² (a number of 21 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82584513 + ... + 82584639.

Almost surely, 2^10488241152 is an apocalyptic number.

10488241152 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 10488241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16349798400).

10488241152 is an abundant number, since it is smaller than the sum of its proper divisors (22211355648).

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

10488241152 is a wasteful number, since it uses less digits than its factorization.

10488241152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 10488241152 in words is "ten billion, four hundred eighty-eight million, two hundred forty-one thousand, one hundred fifty-two".