1017505117728 has 72 divisors (see below), whose sum is σ = 3156578386416. Its totient is φ = 308334883200.

The previous prime is 1017505117721. The next prime is 1017505117747. The reversal of 1017505117728 is 8277115057101.

1017505117728 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 505 + 117 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1017505117728² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1017505117721) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 160587918 + ... + 160594253.

It is an arithmetic number, because the mean of its divisors is an integer number (43841366478).

Almost surely, 2^{1017505117728} is an apocalyptic number.

1017505117728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1017505117728 is an abundant number, since it is smaller than the sum of its proper divisors (2139073268688).

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

1017505117728 is a wasteful number, since it uses less digits than its factorization.

1017505117728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321182198 (or 321182187 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 45.

The spelling of 1017505117728 in words is "one trillion, seventeen billion, five hundred five million, one hundred seventeen thousand, seven hundred twenty-eight".