1308393696960 has 336 divisors, whose sum is σ = 5152041812736. Its totient is φ = 298549241856.

The previous prime is 1308393696947. The next prime is 1308393697003. The reversal of 1308393696960 is 696963938031.

1308393696960 is a `hidden beast` number, since 130 + 83 + 9 + 369 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11778639 + ... + 11889201.

It is an arithmetic number, because the mean of its divisors is an integer number (15333457776).

Almost surely, 2^{1308393696960} is an apocalyptic number.

1308393696960 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 1308393696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576020906368).

1308393696960 is an abundant number, since it is smaller than the sum of its proper divisors (3843648115776).

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

1308393696960 is a wasteful number, since it uses less digits than its factorization.

1308393696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111180 (or 111167 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 1308393696960 in words is "one trillion, three hundred eight billion, three hundred ninety-three million, six hundred ninety-six thousand, nine hundred sixty".