1351891218960 has 960 divisors, whose sum is σ = 5163113539584. Its totient is φ = 315319910400.

The previous prime is 1351891218959. The next prime is 1351891218967. The reversal of 1351891218960 is 698121981531.

It is a happy number.

1351891218960 is a `hidden beast` number, since 1 + 351 + 89 + 121 + 8 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1351891218897 and 1351891218906.

It is not an unprimeable number, because it can be changed into a prime (1351891218967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1042321032 + ... + 1042322328.

Almost surely, 2^{1351891218960} is an apocalyptic number.

1351891218960 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 1351891218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581556769792).

1351891218960 is an abundant number, since it is smaller than the sum of its proper divisors (3811222320624).

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

1351891218960 is a wasteful number, since it uses less digits than its factorization.

1351891218960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 1351891218960 in words is "one trillion, three hundred fifty-one billion, eight hundred ninety-one million, two hundred eighteen thousand, nine hundred sixty".