1307160958368 has 192 divisors, whose sum is σ = 3585989836800. Its totient is φ = 416457676800.

The previous prime is 1307160958339. The next prime is 1307160958391. The reversal of 1307160958368 is 8638590617031.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81126633 + ... + 81142743.

It is an arithmetic number, because the mean of its divisors is an integer number (18677030400).

Almost surely, 2^{1307160958368} 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 1307160958368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792994918400).

1307160958368 is an abundant number, since it is smaller than the sum of its proper divisors (2278828878432).

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

1307160958368 is a wasteful number, since it uses less digits than its factorization.

1307160958368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16491 (or 16483 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 1307160958368 in words is "one trillion, three hundred seven billion, one hundred sixty million, nine hundred fifty-eight thousand, three hundred sixty-eight".