1742560617120 has 48 divisors (see below), whose sum is σ = 5489065945440. Its totient is φ = 464682831104.

The previous prime is 1742560617101. The next prime is 1742560617137. The reversal of 1742560617120 is 217160652471.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1815166830 + ... + 1815167789.

It is an arithmetic number, because the mean of its divisors is an integer number (114355540530).

Almost surely, 2^{1742560617120} is an apocalyptic number.

1742560617120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1742560617120 is an abundant number, since it is smaller than the sum of its proper divisors (3746505328320).

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

1742560617120 is a wasteful number, since it uses less digits than its factorization.

1742560617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630334637 (or 3630334629 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 1742560617120 in words is "one trillion, seven hundred forty-two billion, five hundred sixty million, six hundred seventeen thousand, one hundred twenty".