1005561451360 has 96 divisors (see below), whose sum is σ = 2392115749632. Its totient is φ = 399436531200.

The previous prime is 1005561451339. The next prime is 1005561451373. The reversal of 1005561451360 is 631541655001.

It is a super-2 number, since 2×1005561451360² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143096167 + ... + 143103193.

It is an arithmetic number, because the mean of its divisors is an integer number (24917872392).

Almost surely, 2^{1005561451360} is an apocalyptic number.

1005561451360 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 1005561451360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196057874816).

1005561451360 is an abundant number, since it is smaller than the sum of its proper divisors (1386554298272).

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

1005561451360 is a wasteful number, since it uses less digits than its factorization.

1005561451360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13116 (or 13108 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 1005561451360 in words is "one trillion, five billion, five hundred sixty-one million, four hundred fifty-one thousand, three hundred sixty".