1170928579968 has 384 divisors, whose sum is σ = 4026041510400. Its totient is φ = 334055715840.

The previous prime is 1170928579967. The next prime is 1170928579969. The reversal of 1170928579968 is 8699758290711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1170928579967) and next prime (1170928579969).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1170928579896 and 1170928579905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1170928579967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123108333 + ... + 123117843.

It is an arithmetic number, because the mean of its divisors is an integer number (10484483100).

Almost surely, 2^{1170928579968} is an apocalyptic number.

1170928579968 is a gapful number since it is divisible by the number (18) 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 1170928579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013020755200).

1170928579968 is an abundant number, since it is smaller than the sum of its proper divisors (2855112930432).

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

1170928579968 is an equidigital number, since it uses as much as digits as its factorization.

1170928579968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10275 (or 10250 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 72.

The spelling of 1170928579968 in words is "one trillion, one hundred seventy billion, nine hundred twenty-eight million, five hundred seventy-nine thousand, nine hundred sixty-eight".