10531384900608 has 1056 divisors, whose sum is σ = 34560979425280. Its totient is φ = 2829120307200.

The previous prime is 10531384900579. The next prime is 10531384900609. The reversal of 10531384900608 is 80600948313501.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×10531384900608² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10531384900609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34304185191 + ... + 34304185497.

Almost surely, 2^{10531384900608} 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 10531384900608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280489712640).

10531384900608 is an abundant number, since it is smaller than the sum of its proper divisors (24029594524672).

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

10531384900608 is a wasteful number, since it uses less digits than its factorization.

10531384900608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 10531384900608 in words is "ten trillion, five hundred thirty-one billion, three hundred eighty-four million, nine hundred thousand, six hundred eight".