10538019648 has 336 divisors, whose sum is σ = 34482389760. Its totient is φ = 3170617344.

The previous prime is 10538019607. The next prime is 10538019671. The reversal of 10538019648 is 84691083501.

It is a super-2 number, since 2×10538019648² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9501718 + ... + 9502826.

It is an arithmetic number, because the mean of its divisors is an integer number (102626160).

Almost surely, 2^10538019648 is an apocalyptic number.

10538019648 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 10538019648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241194880).

10538019648 is an abundant number, since it is smaller than the sum of its proper divisors (23944370112).

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

10538019648 is a wasteful number, since it uses less digits than its factorization.

10538019648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10538019648 in words is "ten billion, five hundred thirty-eight million, nineteen thousand, six hundred forty-eight".