10735088448 has 224 divisors, whose sum is σ = 34024458240. Its totient is φ = 2920642560.

The previous prime is 10735088443. The next prime is 10735088519. The reversal of 10735088448 is 84488053701.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 10735088397 and 10735088406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10735088443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8314683 + ... + 8315973.

Almost surely, 2^10735088448 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 10735088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17012229120).

10735088448 is an abundant number, since it is smaller than the sum of its proper divisors (23289369792).

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

10735088448 is a wasteful number, since it uses less digits than its factorization.

10735088448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 10735088448 in words is "ten billion, seven hundred thirty-five million, eighty-eight thousand, four hundred forty-eight".