1011693068680 has 768 divisors, whose sum is σ = 2966794076160. Its totient is φ = 308477030400.

The previous prime is 1011693068629. The next prime is 1011693068693. The reversal of 1011693068680 is 868603961101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4794753775 + ... + 4794753985.

It is an arithmetic number, because the mean of its divisors is an integer number (3863013120).

Almost surely, 2^{1011693068680} is an apocalyptic number.

1011693068680 is a gapful number since it is divisible by the number (10) 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 1011693068680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483397038080).

1011693068680 is an abundant number, since it is smaller than the sum of its proper divisors (1955101007480).

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

1011693068680 is a wasteful number, since it uses less digits than its factorization.

1011693068680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 1011693068680 in words is "one trillion, eleven billion, six hundred ninety-three million, sixty-eight thousand, six hundred eighty".