1075213601280 has 1440 divisors, whose sum is σ = 4745361308688. Its totient is φ = 222953472000.

The previous prime is 1075213601191. The next prime is 1075213601323. The reversal of 1075213601280 is 821063125701.

1075213601280 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 21 + 3 + 601 + 28 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25687113984 + 1049526487296 = 160272^2 + 1024464^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 895264680 + ... + 895265880.

Almost surely, 2^{1075213601280} is an apocalyptic number.

1075213601280 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 1075213601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372680654344).

1075213601280 is an abundant number, since it is smaller than the sum of its proper divisors (3670147707408).

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

1075213601280 is a wasteful number, since it uses less digits than its factorization.

1075213601280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 1075213601280 its reverse (821063125701), we get a palindrome (1896276726981).

The spelling of 1075213601280 in words is "one trillion, seventy-five billion, two hundred thirteen million, six hundred one thousand, two hundred eighty".