1176408097920 has 1536 divisors, whose sum is σ = 4985929728000. Its totient is φ = 252216115200.

The previous prime is 1176408097913. The next prime is 1176408097987. The reversal of 1176408097920 is 297908046711.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1082251617 + ... + 1082252703.

It is an arithmetic number, because the mean of its divisors is an integer number (3246048000).

Almost surely, 2^{1176408097920} is an apocalyptic number.

1176408097920 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 1176408097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492964864000).

1176408097920 is an abundant number, since it is smaller than the sum of its proper divisors (3809521630080).

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

1176408097920 is a wasteful number, since it uses less digits than its factorization.

1176408097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1176408097920 in words is "one trillion, one hundred seventy-six billion, four hundred eight million, ninety-seven thousand, nine hundred twenty".