1205888610080 has 192 divisors, whose sum is σ = 3561035063040. Its totient is φ = 374893670400.

The previous prime is 1205888610049. The next prime is 1205888610107. The reversal of 1205888610080 is 800168885021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4666670 + ... + 4918290.

It is an arithmetic number, because the mean of its divisors is an integer number (18547057620).

Almost surely, 2^{1205888610080} is an apocalyptic number.

1205888610080 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 1205888610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780517531520).

1205888610080 is an abundant number, since it is smaller than the sum of its proper divisors (2355146452960).

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

1205888610080 is a wasteful number, since it uses less digits than its factorization.

1205888610080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252043 (or 252035 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 47.

The spelling of 1205888610080 in words is "one trillion, two hundred five billion, eight hundred eighty-eight million, six hundred ten thousand, eighty".