10847536400160 has 288 divisors, whose sum is σ = 39279396199680. Its totient is φ = 2716635930624.

The previous prime is 10847536400111. The next prime is 10847536400161. The reversal of 10847536400160 is 6100463574801.

10847536400160 is a `hidden beast` number, since 1 + 0 + 84 + 7 + 5 + 3 + 6 + 400 + 160 = 666.

10847536400160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10847536400161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10855711 + ... + 11812769.

It is an arithmetic number, because the mean of its divisors is an integer number (136386792360).

Almost surely, 2^{10847536400160} is an apocalyptic number.

10847536400160 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 10847536400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19639698099840).

10847536400160 is an abundant number, since it is smaller than the sum of its proper divisors (28431859799520).

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

10847536400160 is a wasteful number, since it uses less digits than its factorization.

10847536400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957560 (or 957549 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 10847536400160 its reverse (6100463574801), we get a palindrome (16947999974961).

The spelling of 10847536400160 in words is "ten trillion, eight hundred forty-seven billion, five hundred thirty-six million, four hundred thousand, one hundred sixty".