1179966977280 has 3456 divisors, whose sum is σ = 5745438720000. Its totient is φ = 228248616960.

The previous prime is 1179966977227. The next prime is 1179966977291. The reversal of 1179966977280 is 827796699711.

1179966977280 is a `hidden beast` number, since 1 + 179 + 96 + 6 + 97 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 = 1179966977199 and 1179966977208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38063450865 + ... + 38063450895.

Almost surely, 2^{1179966977280} is an apocalyptic number.

1179966977280 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 1179966977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872719360000).

1179966977280 is an abundant number, since it is smaller than the sum of its proper divisors (4565471742720).

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

1179966977280 is a wasteful number, since it uses less digits than its factorization.

1179966977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 72.

The spelling of 1179966977280 in words is "one trillion, one hundred seventy-nine billion, nine hundred sixty-six million, nine hundred seventy-seven thousand, two hundred eighty".