10960562261376 has 768 divisors, whose sum is σ = 39464687808000. Its totient is φ = 2842823983104.

The previous prime is 10960562261309. The next prime is 10960562261377. The reversal of 10960562261376 is 67316226506901.

10960562261376 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 0 + 5 + 6 + 2 + 261 + 376 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10960562261377) 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, 2900385055 + ... + 2900388833.

It is an arithmetic number, because the mean of its divisors is an integer number (51386312250).

Almost surely, 2^{10960562261376} is an apocalyptic number.

10960562261376 is a gapful number since it is divisible by the number (16) 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 10960562261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19732343904000).

10960562261376 is an abundant number, since it is smaller than the sum of its proper divisors (28504125546624).

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

10960562261376 is a wasteful number, since it uses less digits than its factorization.

10960562261376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 10960562261376 in words is "ten trillion, nine hundred sixty billion, five hundred sixty-two million, two hundred sixty-one thousand, three hundred seventy-six".