1007705667160 has 16 divisors (see below), whose sum is σ = 2267337751200. Its totient is φ = 403082266848.

The previous prime is 1007705667107. The next prime is 1007705667161. The reversal of 1007705667160 is 617665077001.

It is a self number, because there is not a number n which added to its sum of digits gives 1007705667160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007705667161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12596320800 + ... + 12596320879.

It is an arithmetic number, because the mean of its divisors is an integer number (141708609450).

Almost surely, 2^{1007705667160} is an apocalyptic number.

1007705667160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007705667160 is an abundant number, since it is smaller than the sum of its proper divisors (1259632084040).

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

1007705667160 is a wasteful number, since it uses less digits than its factorization.

1007705667160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25192641690 (or 25192641686 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 46.

The spelling of 1007705667160 in words is "one trillion, seven billion, seven hundred five million, six hundred sixty-seven thousand, one hundred sixty".