10507011648 has 112 divisors (see below), whose sum is σ = 31822095360. Its totient is φ = 2997195264.

The previous prime is 10507011643. The next prime is 10507011649. The reversal of 10507011648 is 84611070501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10507011648² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10507011643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 879765 + ... + 891627.

Almost surely, 2^10507011648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10507011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911047680).

10507011648 is an abundant number, since it is smaller than the sum of its proper divisors (21315083712).

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

10507011648 is a wasteful number, since it uses less digits than its factorization.

10507011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12544 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 10507011648 in words is "ten billion, five hundred seven million, eleven thousand, six hundred forty-eight".