10849250160 has 480 divisors, whose sum is σ = 43924188672. Its totient is φ = 2437309440.

The previous prime is 10849250051. The next prime is 10849250161. The reversal of 10849250160 is 6105294801.

10849250160 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 92 + 501 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10849250161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8300227 + ... + 8301533.

Almost surely, 2^10849250160 is an apocalyptic number.

10849250160 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 10849250160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21962094336).

10849250160 is an abundant number, since it is smaller than the sum of its proper divisors (33074938512).

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

10849250160 is a wasteful number, since it uses less digits than its factorization.

10849250160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10849250160 in words is "ten billion, eight hundred forty-nine million, two hundred fifty thousand, one hundred sixty".