1459253060160 has 896 divisors, whose sum is σ = 5952348979200. Its totient is φ = 295227555840.

The previous prime is 1459253060119. The next prime is 1459253060183. The reversal of 1459253060160 is 610603529541.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 114777964 + ... + 114790676.

Almost surely, 2^{1459253060160} is an apocalyptic number.

1459253060160 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 1459253060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976174489600).

1459253060160 is an abundant number, since it is smaller than the sum of its proper divisors (4493095919040).

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

1459253060160 is a wasteful number, since it uses less digits than its factorization.

1459253060160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12819 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 1459253060160 in words is "one trillion, four hundred fifty-nine billion, two hundred fifty-three million, sixty thousand, one hundred sixty".