1117657202720 has 96 divisors (see below), whose sum is σ = 2686520390400. Its totient is φ = 439310407680.

The previous prime is 1117657202707. The next prime is 1117657202723. The reversal of 1117657202720 is 272027567111.

It is a super-3 number, since 3×1117657202720³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1117657202723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2988731 + ... + 3341829.

It is an arithmetic number, because the mean of its divisors is an integer number (27984587400).

Almost surely, 2^{1117657202720} is an apocalyptic number.

1117657202720 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 1117657202720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343260195200).

1117657202720 is an abundant number, since it is smaller than the sum of its proper divisors (1568863187680).

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

1117657202720 is a wasteful number, since it uses less digits than its factorization.

1117657202720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353458 (or 353450 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 1117657202720 in words is "one trillion, one hundred seventeen billion, six hundred fifty-seven million, two hundred two thousand, seven hundred twenty".