1012869787776 has 256 divisors, whose sum is σ = 3356160998400. Its totient is φ = 262937825280.

The previous prime is 1012869787763. The next prime is 1012869787777. The reversal of 1012869787776 is 6777879682101.

It is a self number, because there is not a number n which added to its sum of digits gives 1012869787776.

It is not an unprimeable number, because it can be changed into a prime (1012869787777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59985031 + ... + 60001913.

It is an arithmetic number, because the mean of its divisors is an integer number (13110003900).

Almost surely, 2^{1012869787776} is an apocalyptic number.

1012869787776 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 1012869787776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678080499200).

1012869787776 is an abundant number, since it is smaller than the sum of its proper divisors (2343291210624).

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

1012869787776 is a wasteful number, since it uses less digits than its factorization.

1012869787776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18947 (or 18935 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 69.

The spelling of 1012869787776 in words is "one trillion, twelve billion, eight hundred sixty-nine million, seven hundred eighty-seven thousand, seven hundred seventy-six".