1205452694160 has 1920 divisors, whose sum is σ = 5266462924800. Its totient is φ = 250996838400.

The previous prime is 1205452694111. The next prime is 1205452694167. The reversal of 1205452694160 is 614962545021.

1205452694160 is a `hidden beast` number, since 1 + 2 + 0 + 545 + 2 + 6 + 9 + 41 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1205452694167) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4583470189 + ... + 4583470451.

It is an arithmetic number, because the mean of its divisors is an integer number (2742949440).

Almost surely, 2^{1205452694160} is an apocalyptic number.

1205452694160 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 1205452694160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633231462400).

1205452694160 is an abundant number, since it is smaller than the sum of its proper divisors (4061010230640).

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

1205452694160 is a wasteful number, since it uses less digits than its factorization.

1205452694160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1205452694160 in words is "one trillion, two hundred five billion, four hundred fifty-two million, six hundred ninety-four thousand, one hundred sixty".