1351665958080 has 896 divisors, whose sum is σ = 4795587624960. Its totient is φ = 321052999680.

The previous prime is 1351665958079. The next prime is 1351665958109. The reversal of 1351665958080 is 808595661531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1351665958080.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7003450464 + ... + 7003450656.

Almost surely, 2^{1351665958080} is an apocalyptic number.

1351665958080 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 1351665958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397793812480).

1351665958080 is an abundant number, since it is smaller than the sum of its proper divisors (3443921666880).

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

1351665958080 is a wasteful number, since it uses less digits than its factorization.

1351665958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 57.

The spelling of 1351665958080 in words is "one trillion, three hundred fifty-one billion, six hundred sixty-five million, nine hundred fifty-eight thousand, eighty".