1071775343520 has 144 divisors (see below), whose sum is σ = 4179923879040. Its totient is φ = 244977219072.

The previous prime is 1071775343479. The next prime is 1071775343521. The reversal of 1071775343520 is 253435771701.

1071775343520 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 77 + 53 + 4 + 3 + 520 = 666.

1071775343520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1071775343520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1071775343521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53153380 + ... + 53173539.

It is an arithmetic number, because the mean of its divisors is an integer number (29027249160).

Almost surely, 2^{1071775343520} is an apocalyptic number.

1071775343520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071775343520 is an abundant number, since it is smaller than the sum of its proper divisors (3108148535520).

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

1071775343520 is a wasteful number, since it uses less digits than its factorization.

1071775343520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106326947 (or 106326936 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 1071775343520 in words is "one trillion, seventy-one billion, seven hundred seventy-five million, three hundred forty-three thousand, five hundred twenty".