1351385616960 has 84 divisors (see below), whose sum is σ = 4648203454908. Its totient is φ = 360369497088.

The previous prime is 1351385616887. The next prime is 1351385617019. The reversal of 1351385616960 is 696165831531.

1351385616960 is a `hidden beast` number, since 1 + 3 + 5 + 13 + 8 + 5 + 616 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 277973581824 + 1073412035136 = 527232^2 + 1036056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1351385616897 and 1351385616906.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234612679 + ... + 234618438.

Almost surely, 2^{1351385616960} is an apocalyptic number.

1351385616960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351385616960 is an abundant number, since it is smaller than the sum of its proper divisors (3296817837948).

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

1351385616960 is a wasteful number, since it uses less digits than its factorization.

1351385616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469231140 (or 469231127 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1351385616960 in words is "one trillion, three hundred fifty-one billion, three hundred eighty-five million, six hundred sixteen thousand, nine hundred sixty".