10835829648 has 640 divisors, whose sum is σ = 39687459840. Its totient is φ = 2760376320.

The previous prime is 10835829643. The next prime is 10835829691. The reversal of 10835829648 is 84692853801.

10835829648 is a `hidden beast` number, since 10 + 8 + 3 + 582 + 9 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10835829594 and 10835829603.

It is not an unprimeable number, because it can be changed into a prime (10835829643) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111709536 + ... + 111709632.

It is an arithmetic number, because the mean of its divisors is an integer number (62011656).

Almost surely, 2^10835829648 is an apocalyptic number.

10835829648 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 10835829648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843729920).

10835829648 is an abundant number, since it is smaller than the sum of its proper divisors (28851630192).

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

10835829648 is a wasteful number, since it uses less digits than its factorization.

10835829648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 10835829648 in words is "ten billion, eight hundred thirty-five million, eight hundred twenty-nine thousand, six hundred forty-eight".