1145559697920 has 1920 divisors, whose sum is σ = 4819754016000. Its totient is φ = 260138926080.

The previous prime is 1145559697903. The next prime is 1145559697949. The reversal of 1145559697920 is 297969555411.

1145559697920 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 559 + 6 + 9 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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, 12871457236 + ... + 12871457324.

It is an arithmetic number, because the mean of its divisors is an integer number (2510288550).

Almost surely, 2^{1145559697920} is an apocalyptic number.

1145559697920 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 1145559697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409877008000).

1145559697920 is an abundant number, since it is smaller than the sum of its proper divisors (3674194318080).

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

1145559697920 is an frugal number, since it uses more digits than its factorization.

1145559697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 63.

The spelling of 1145559697920 in words is "one trillion, one hundred forty-five billion, five hundred fifty-nine million, six hundred ninety-seven thousand, nine hundred twenty".