10833688320 has 864 divisors, whose sum is σ = 44783811072. Its totient is φ = 2210955264.

The previous prime is 10833688231. The next prime is 10833688339. The reversal of 10833688320 is 2388633801.

It is a super-2 number, since 2×10833688320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105181389 + ... + 105181491.

Almost surely, 2^10833688320 is an apocalyptic number.

10833688320 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 10833688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391905536).

10833688320 is an abundant number, since it is smaller than the sum of its proper divisors (33950122752).

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

10833688320 is a wasteful number, since it uses less digits than its factorization.

10833688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

It can be divided in two parts, 10833 and 688320, that added together give a triangular number (699153 = T₁₁₈₂).

The spelling of 10833688320 in words is "ten billion, eight hundred thirty-three million, six hundred eighty-eight thousand, three hundred twenty".