10835323632 has 240 divisors, whose sum is σ = 35515584000. Its totient is φ = 3019968000.

The previous prime is 10835323523. The next prime is 10835323663. The reversal of 10835323632 is 23632353801.

10835323632 is a `hidden beast` number, since 10 + 8 + 3 + 5 + 3 + 2 + 3 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7227619 + ... + 7229117.

It is an arithmetic number, because the mean of its divisors is an integer number (147981600).

Almost surely, 2^10835323632 is an apocalyptic number.

10835323632 is a gapful number since it is divisible by the number (12) 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 10835323632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757792000).

10835323632 is an abundant number, since it is smaller than the sum of its proper divisors (24680260368).

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

10835323632 is a wasteful number, since it uses less digits than its factorization.

10835323632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10835323632 in words is "ten billion, eight hundred thirty-five million, three hundred twenty-three thousand, six hundred thirty-two".