1205506544320 has 112 divisors (see below), whose sum is σ = 3107123445888. Its totient is φ = 442850365440.

The previous prime is 1205506544309. The next prime is 1205506544327. The reversal of 1205506544320 is 234456055021.

It is a self number, because there is not a number n which added to its sum of digits gives 1205506544320.

It is not an unprimeable number, because it can be changed into a prime (1205506544327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84025 + ... + 1555015.

It is an arithmetic number, because the mean of its divisors is an integer number (27742173624).

Almost surely, 2^{1205506544320} is an apocalyptic number.

1205506544320 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 1205506544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553561722944).

1205506544320 is an abundant number, since it is smaller than the sum of its proper divisors (1901616901568).

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

1205506544320 is a wasteful number, since it uses less digits than its factorization.

1205506544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471218 (or 1471208 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 1205506544320 in words is "one trillion, two hundred five billion, five hundred six million, five hundred forty-four thousand, three hundred twenty".