1012513872384 has 1600 divisors, whose sum is σ = 3850146432000. Its totient is φ = 263753957376.

The previous prime is 1012513872373. The next prime is 1012513872407. The reversal of 1012513872384 is 4832783152101.

1012513872384 is a `hidden beast` number, since 10 + 1 + 25 + 1 + 387 + 238 + 4 = 666.

1012513872384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12816631257 + ... + 12816631335.

It is an arithmetic number, because the mean of its divisors is an integer number (2406341520).

Almost surely, 2^{1012513872384} is an apocalyptic number.

1012513872384 is a gapful number since it is divisible by the number (14) 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 1012513872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925073216000).

1012513872384 is an abundant number, since it is smaller than the sum of its proper divisors (2837632559616).

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

1012513872384 is an frugal number, since it uses more digits than its factorization.

1012513872384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1012513872384 in words is "one trillion, twelve billion, five hundred thirteen million, eight hundred seventy-two thousand, three hundred eighty-four".