10507246848 has 432 divisors, whose sum is σ = 38608053120. Its totient is φ = 2675441664.

The previous prime is 10507246843. The next prime is 10507246861. The reversal of 10507246848 is 84864270501.

It is a super-2 number, since 2×10507246848² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507246843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5208336 + ... + 5210352.

Almost surely, 2^10507246848 is an apocalyptic number.

10507246848 is a gapful number since it is divisible by the number (18) 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 10507246848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19304026560).

10507246848 is an abundant number, since it is smaller than the sum of its proper divisors (28100806272).

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

10507246848 is a wasteful number, since it uses less digits than its factorization.

10507246848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10507246848 in words is "ten billion, five hundred seven million, two hundred forty-six thousand, eight hundred forty-eight".