10897682664960 has 3360 divisors, whose sum is σ = 50110159619520. Its totient is φ = 2251384160256.

The previous prime is 10897682664959. The next prime is 10897682664961. The reversal of 10897682664960 is 6946628679801.

10897682664960 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 76 + 8 + 2 + 66 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10897682664959) and next prime (10897682664961).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×10897682664960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10897682664961) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 105802744269 + ... + 105802744371.

It is an arithmetic number, because the mean of its divisors is an integer number (14913737982).

Almost surely, 2^{10897682664960} is an apocalyptic number.

10897682664960 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 10897682664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25055079809760).

10897682664960 is an abundant number, since it is smaller than the sum of its proper divisors (39212476954560).

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

10897682664960 is an equidigital number, since it uses as much as digits as its factorization.

10897682664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 10897682664960 in words is "ten trillion, eight hundred ninety-seven billion, six hundred eighty-two million, six hundred sixty-four thousand, nine hundred sixty".