1070093668352 has 208 divisors, whose sum is σ = 2321855196672. Its totient is φ = 491983994880.

The previous prime is 1070093668337. The next prime is 1070093668361. The reversal of 1070093668352 is 2538663900701.

It is a super-2 number, since 2×1070093668352² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1070093668352.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202016168 + ... + 202021464.

Almost surely, 2^{1070093668352} 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 1070093668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160927598336).

1070093668352 is an abundant number, since it is smaller than the sum of its proper divisors (1251761528320).

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

1070093668352 is an equidigital number, since it uses as much as digits as its factorization.

1070093668352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 1070093668352 in words is "one trillion, seventy billion, ninety-three million, six hundred sixty-eight thousand, three hundred fifty-two".