1076813704512 has 1680 divisors, whose sum is σ = 4216071433728. Its totient is φ = 269007298560.

The previous prime is 1076813704451. The next prime is 1076813704517. The reversal of 1076813704512 is 2154073186701.

1076813704512 is a `hidden beast` number, since 1 + 0 + 7 + 68 + 1 + 3 + 70 + 4 + 512 = 666.

1076813704512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076813704517) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6858685938 + ... + 6858686094.

Almost surely, 2^{1076813704512} is an apocalyptic number.

1076813704512 is a gapful number since it is divisible by the number (12) 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 1076813704512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108035716864).

1076813704512 is an abundant number, since it is smaller than the sum of its proper divisors (3139257729216).

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

1076813704512 is a wasteful number, since it uses less digits than its factorization.

1076813704512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1076813704512 in words is "one trillion, seventy-six billion, eight hundred thirteen million, seven hundred four thousand, five hundred twelve".