1170378823680 has 768 divisors, whose sum is σ = 4595541350400. Its totient is φ = 283668480000.

The previous prime is 1170378823667. The next prime is 1170378823711. The reversal of 1170378823680 is 863288730711.

1170378823680 is a `hidden beast` number, since 1 + 170 + 37 + 8 + 82 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 246341305 + ... + 246346055.

It is an arithmetic number, because the mean of its divisors is an integer number (5983777800).

Almost surely, 2^{1170378823680} is an apocalyptic number.

1170378823680 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 1170378823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297770675200).

1170378823680 is an abundant number, since it is smaller than the sum of its proper divisors (3425162526720).

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

1170378823680 is an frugal number, since it uses more digits than its factorization.

1170378823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1170378823680 in words is "one trillion, one hundred seventy billion, three hundred seventy-eight million, eight hundred twenty-three thousand, six hundred eighty".