1178748910080 has 1280 divisors, whose sum is σ = 5102416281600. Its totient is φ = 255086641152.

The previous prime is 1178748910067. The next prime is 1178748910109. The reversal of 1178748910080 is 800198478711.

1178748910080 is a `hidden beast` number, since 1 + 1 + 7 + 87 + 489 + 1 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 1178748909999 and 1178748910026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 744628969 + ... + 744630551.

It is an arithmetic number, because the mean of its divisors is an integer number (3986262720).

Almost surely, 2^{1178748910080} is an apocalyptic number.

1178748910080 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 1178748910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551208140800).

1178748910080 is an abundant number, since it is smaller than the sum of its proper divisors (3923667371520).

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

1178748910080 is an frugal number, since it uses more digits than its factorization.

1178748910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 54.

The spelling of 1178748910080 in words is "one trillion, one hundred seventy-eight billion, seven hundred forty-eight million, nine hundred ten thousand, eighty".