10693088640 has 896 divisors, whose sum is σ = 43265486880. Its totient is φ = 2508226560.

The previous prime is 10693088629. The next prime is 10693088647. The reversal of 10693088640 is 4688039601.

10693088640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10693088640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10693088647) 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 111 ways as a sum of consecutive naturals, for example, 248676459 + ... + 248676501.

Almost surely, 2^10693088640 is an apocalyptic number.

10693088640 is a gapful number since it is divisible by the number (10) 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 10693088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21632743440).

10693088640 is an abundant number, since it is smaller than the sum of its proper divisors (32572398240).

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

10693088640 is an equidigital number, since it uses as much as digits as its factorization.

10693088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10693088640 in words is "ten billion, six hundred ninety-three million, eighty-eight thousand, six hundred forty".