1012857716736 has 480 divisors, whose sum is σ = 3172684435200. Its totient is φ = 322677374976.

The previous prime is 1012857716719. The next prime is 1012857716737. The reversal of 1012857716736 is 6376177582101.

1012857716736 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 8 + 577 + 1 + 67 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1012857716737) 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, 824130970 + ... + 824132198.

It is an arithmetic number, because the mean of its divisors is an integer number (6609759240).

Almost surely, 2^{1012857716736} is an apocalyptic number.

1012857716736 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 1012857716736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586342217600).

1012857716736 is an abundant number, since it is smaller than the sum of its proper divisors (2159826718464).

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

1012857716736 is an frugal number, since it uses more digits than its factorization.

1012857716736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 1012857716736 in words is "one trillion, twelve billion, eight hundred fifty-seven million, seven hundred sixteen thousand, seven hundred thirty-six".