10486958788880 has 120 divisors (see below), whose sum is σ = 28898093575512. Its totient is φ = 3527688493056.

The previous prime is 10486958788807. The next prime is 10486958788883. The reversal of 10486958788880 is 8888785968401.

It can be written as a sum of positive squares in 4 ways, for example, as 1175160066304 + 9311798722576 = 1084048^2 + 3051524^2 .

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a junction number, because it is equal to n+sod(n) for n = 10486958788795 and 10486958788804.

It is not an unprimeable number, because it can be changed into a prime (10486958788883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25030397 + ... + 25445916.

Almost surely, 2^{10486958788880} is an apocalyptic number.

10486958788880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10486958788880 is an abundant number, since it is smaller than the sum of its proper divisors (18411134786632).

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

10486958788880 is a wasteful number, since it uses less digits than its factorization.

10486958788880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50476393 (or 50476380 counting only the distinct ones).

The product of its (nonzero) digits is 1981808640, while the sum is 80.

The spelling of 10486958788880 in words is "ten trillion, four hundred eighty-six billion, nine hundred fifty-eight million, seven hundred eighty-eight thousand, eight hundred eighty".