1171506409920 has 2016 divisors, whose sum is σ = 5479538927616. Its totient is φ = 226359705600.

The previous prime is 1171506409873. The next prime is 1171506409921. The reversal of 1171506409920 is 299046051711.

1171506409920 is a `hidden beast` number, since 1 + 1 + 7 + 150 + 6 + 409 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1171506409921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2718112105 + ... + 2718112535.

Almost surely, 2^{1171506409920} is an apocalyptic number.

1171506409920 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 1171506409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739769463808).

1171506409920 is an abundant number, since it is smaller than the sum of its proper divisors (4308032517696).

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

1171506409920 is a wasteful number, since it uses less digits than its factorization.

1171506409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 1171506409920 in words is "one trillion, one hundred seventy-one billion, five hundred six million, four hundred nine thousand, nine hundred twenty".