10835180160 has 512 divisors, whose sum is σ = 41972428800. Its totient is φ = 2322432000.

The previous prime is 10835180149. The next prime is 10835180173. The reversal of 10835180160 is 6108153801.

It is a super-2 number, since 2×10835180160² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38559220 + ... + 38559500.

It is an arithmetic number, because the mean of its divisors is an integer number (81977400).

Almost surely, 2^10835180160 is an apocalyptic number.

10835180160 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 10835180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20986214400).

10835180160 is an abundant number, since it is smaller than the sum of its proper divisors (31137248640).

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

10835180160 is a wasteful number, since it uses less digits than its factorization.

10835180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 10835180160 in words is "ten billion, eight hundred thirty-five million, one hundred eighty thousand, one hundred sixty".