1075285301680 has 20 divisors (see below), whose sum is σ = 2500038326592. Its totient is φ = 430114120640.

The previous prime is 1075285301677. The next prime is 1075285301681. The reversal of 1075285301680 is 861035825701.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1075285301680² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1075285301680.

It is not an unprimeable number, because it can be changed into a prime (1075285301681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6720533056 + ... + 6720533215.

Almost surely, 2^{1075285301680} is an apocalyptic number.

1075285301680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1075285301680 is an abundant number, since it is smaller than the sum of its proper divisors (1424753024912).

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

1075285301680 is a wasteful number, since it uses less digits than its factorization.

1075285301680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13441066284 (or 13441066278 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 1075285301680 in words is "one trillion, seventy-five billion, two hundred eighty-five million, three hundred one thousand, six hundred eighty".