10663251541056 has 168 divisors, whose sum is σ = 30762679165400. Its totient is φ = 3531419099136.

The previous prime is 10663251541043. The next prime is 10663251541069. The reversal of 10663251541056 is 65014515236601.

10663251541056 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 3 + 2 + 51 + 541 + 0 + 56 = 666.

10663251541056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10663251541043) and next prime (10663251541069).

It can be written as a sum of positive squares in 4 ways, for example, as 69632654400 + 10593618886656 = 263880^2 + 3254784^2 .

It is a super-2 number, since 2×10663251541056² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55587900 + ... + 55779396.

Almost surely, 2^{10663251541056} is an apocalyptic number.

10663251541056 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 10663251541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15381339582700).

10663251541056 is an abundant number, since it is smaller than the sum of its proper divisors (20099427624344).

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

10663251541056 is a wasteful number, since it uses less digits than its factorization.

10663251541056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192141 (or 192128 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

Adding to 10663251541056 its reverse (65014515236601), we get a palindrome (75677766777657).

The spelling of 10663251541056 in words is "ten trillion, six hundred sixty-three billion, two hundred fifty-one million, five hundred forty-one thousand, fifty-six".