1171719198720 has 480 divisors, whose sum is σ = 4799800605600. Its totient is φ = 267820204032.

The previous prime is 1171719198707. The next prime is 1171719198731. The reversal of 1171719198720 is 278919171711.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5705176 + ... + 5906984.

It is an arithmetic number, because the mean of its divisors is an integer number (9999584595).

Almost surely, 2^{1171719198720} is an apocalyptic number.

1171719198720 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 1171719198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399900302800).

1171719198720 is an abundant number, since it is smaller than the sum of its proper divisors (3628081406880).

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

1171719198720 is an equidigital number, since it uses as much as digits as its factorization.

1171719198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201855 (or 201826 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 54.

The spelling of 1171719198720 in words is "one trillion, one hundred seventy-one billion, seven hundred nineteen million, one hundred ninety-eight thousand, seven hundred twenty".