10975327641600 has 2016 divisors, whose sum is σ = 44354133653760. Its totient is φ = 2385106698240.

The previous prime is 10975327641581. The next prime is 10975327641601. The reversal of 10975327641600 is 614672357901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10975327641601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65720524717 + ... + 65720524883.

It is an arithmetic number, because the mean of its divisors is an integer number (22001058360).

Almost surely, 2^{10975327641600} is an apocalyptic number.

10975327641600 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 10975327641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22177066826880).

10975327641600 is an abundant number, since it is smaller than the sum of its proper divisors (33378806012160).

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

10975327641600 is a wasteful number, since it uses less digits than its factorization.

10975327641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 10975327641600 in words is "ten trillion, nine hundred seventy-five billion, three hundred twenty-seven million, six hundred forty-one thousand, six hundred".