1210068735876 has 1152 divisors, whose sum is σ = 4573191168000. Its totient is φ = 274592021760.

The previous prime is 1210068735847. The next prime is 1210068735917. The reversal of 1210068735876 is 6785378600121.

It is a happy number.

1210068735876 is a `hidden beast` number, since 1 + 210 + 0 + 6 + 8 + 7 + 358 + 76 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1164646965 + ... + 1164648003.

It is an arithmetic number, because the mean of its divisors is an integer number (3969784000).

Almost surely, 2^{1210068735876} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210068735876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286595584000).

1210068735876 is an abundant number, since it is smaller than the sum of its proper divisors (3363122432124).

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

1210068735876 is a wasteful number, since it uses less digits than its factorization.

1210068735876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1210068735876 in words is "one trillion, two hundred ten billion, sixty-eight million, seven hundred thirty-five thousand, eight hundred seventy-six".