10747161815040 has 1440 divisors, whose sum is σ = 46025270240040. Its totient is φ = 2311185235968.

The previous prime is 10747161815011. The next prime is 10747161815077. The reversal of 10747161815040 is 4051816174701.

10747161815040 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 7 + 1 + 61 + 81 + 504 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10201738208256 + 545423606784 = 3194016^2 + 738528^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3761693292 + ... + 3761696148.

Almost surely, 2^{10747161815040} is an apocalyptic number.

10747161815040 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 10747161815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23012635120020).

10747161815040 is an abundant number, since it is smaller than the sum of its proper divisors (35278108425000).

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

10747161815040 is an equidigital number, since it uses as much as digits as its factorization.

10747161815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

Adding to 10747161815040 its reverse (4051816174701), we get a palindrome (14798977989741).

The spelling of 10747161815040 in words is "ten trillion, seven hundred forty-seven billion, one hundred sixty-one million, eight hundred fifteen thousand, forty".