1745116059960 has 384 divisors, whose sum is σ = 7391082142080. Its totient is φ = 346541359104.

The previous prime is 1745116059959. The next prime is 1745116059961. The reversal of 1745116059960 is 699506115471.

1745116059960 is a `hidden beast` number, since 1 + 7 + 4 + 511 + 60 + 5 + 9 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1745116059959) and next prime (1745116059961).

It is a junction number, because it is equal to n+sod(n) for n = 1745116059897 and 1745116059906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1745116059961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1009837 + ... + 2123676.

It is an arithmetic number, because the mean of its divisors is an integer number (19247609745).

Almost surely, 2^{1745116059960} is an apocalyptic number.

1745116059960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1745116059960 is an abundant number, since it is smaller than the sum of its proper divisors (5645966082120).

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

1745116059960 is a wasteful number, since it uses less digits than its factorization.

1745116059960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133567 (or 3133560 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 1745116059960 in words is "one trillion, seven hundred forty-five billion, one hundred sixteen million, fifty-nine thousand, nine hundred sixty".