1768053379752 has 192 divisors, whose sum is σ = 5507037020160. Its totient is φ = 507458678400.

The previous prime is 1768053379733. The next prime is 1768053379769. The reversal of 1768053379752 is 2579733508671.

1768053379752 is a `hidden beast` number, since 1 + 7 + 6 + 8 + 0 + 533 + 7 + 97 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1768053379752.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387853 + ... + 1920035.

It is an arithmetic number, because the mean of its divisors is an integer number (28682484480).

Almost surely, 2^{1768053379752} is an apocalyptic number.

1768053379752 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 1768053379752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753518510080).

1768053379752 is an abundant number, since it is smaller than the sum of its proper divisors (3738983640408).

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

1768053379752 is a wasteful number, since it uses less digits than its factorization.

1768053379752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532284 (or 1532277 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 1768053379752 in words is "one trillion, seven hundred sixty-eight billion, fifty-three million, three hundred seventy-nine thousand, seven hundred fifty-two".