10883900160 has 432 divisors, whose sum is σ = 43391013120. Its totient is φ = 2467307520.

The previous prime is 10883900149. The next prime is 10883900239. The reversal of 10883900160 is 6100938801.

10883900160 is a `hidden beast` number, since 108 + 8 + 390 + 0 + 160 = 666.

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

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, 11208475 + ... + 11209445.

It is an arithmetic number, because the mean of its divisors is an integer number (100442160).

Almost surely, 2^10883900160 is an apocalyptic number.

10883900160 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 10883900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21695506560).

10883900160 is an abundant number, since it is smaller than the sum of its proper divisors (32507112960).

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

10883900160 is a wasteful number, since it uses less digits than its factorization.

10883900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10883900160 in words is "ten billion, eight hundred eighty-three million, nine hundred thousand, one hundred sixty".