10248556752 has 200 divisors, whose sum is σ = 35374390656. Its totient is φ = 2800790784.

The previous prime is 10248556751. The next prime is 10248556757. The reversal of 10248556752 is 25765584201.

10248556752 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 85 + 567 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10248556698 and 10248556707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10248556751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 184098 + ... + 233214.

Almost surely, 2^10248556752 is an apocalyptic number.

10248556752 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 10248556752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17687195328).

10248556752 is an abundant number, since it is smaller than the sum of its proper divisors (25125833904).

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

10248556752 is a wasteful number, since it uses less digits than its factorization.

10248556752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49167 (or 49152 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 10248556752 in words is "ten billion, two hundred forty-eight million, five hundred fifty-six thousand, seven hundred fifty-two".