10997037200160 has 504 divisors, whose sum is σ = 42816086879580. Its totient is φ = 2665944990720.

The previous prime is 10997037200147. The next prime is 10997037200189. The reversal of 10997037200160 is 6100273079901.

It can be written as a sum of positive squares in 2 ways, for example, as 10993919541264 + 3117658896 = 3315708^2 + 55836^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13723846 + ... + 14503034.

Almost surely, 2^{10997037200160} is an apocalyptic number.

10997037200160 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 10997037200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21408043439790).

10997037200160 is an abundant number, since it is smaller than the sum of its proper divisors (31819049679420).

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

10997037200160 is an equidigital number, since it uses as much as digits as its factorization.

10997037200160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779244 (or 779210 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 10997037200160 in words is "ten trillion, nine hundred ninety-seven billion, thirty-seven million, two hundred thousand, one hundred sixty".