10488581777664 has 243 divisors, whose sum is σ = 30570541081353. Its totient is φ = 3458522437632.

The previous prime is 10488581777593. The next prime is 10488581777683. The reversal of 10488581777664 is 46677718588401.

The square root of 10488581777664 is 3238608.

It is a perfect power (a square), and thus also a powerful number.

10488581777664 is a `hidden beast` number, since 1 + 0 + 488 + 5 + 8 + 1 + 77 + 76 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7310491179264 + 3178090598400 = 2703792^2 + 1782720^2 .

It is a super-2 number, since 2×10488581777664² (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 junction number, because it is equal to n+sod(n) for n = 10488581777592 and 10488581777601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16944396747 + ... + 16944397365.

Almost surely, 2^{10488581777664} is an apocalyptic number.

10488581777664 is the 3238608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10488581777664

10488581777664 is an abundant number, since it is smaller than the sum of its proper divisors (20081959303689).

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

10488581777664 is an frugal number, since it uses more digits than its factorization.

10488581777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 72.

The spelling of 10488581777664 in words is "ten trillion, four hundred eighty-eight billion, five hundred eighty-one million, seven hundred seventy-seven thousand, six hundred sixty-four".