1177511040721 has 16 divisors (see below), whose sum is σ = 1208193714000. Its totient is φ = 1146923366400.

The previous prime is 1177511040683. The next prime is 1177511040743. The reversal of 1177511040721 is 1270401157711.

It can be written as a sum of positive squares in 8 ways, for example, as 771869430721 + 405641610000 = 878561^2 + 636900^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1177511040721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1177511040521) 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, 72015255 + ... + 72031603.

It is an arithmetic number, because the mean of its divisors is an integer number (75512107125).

Almost surely, 2^{1177511040721} is an apocalyptic number.

It is an amenable number.

1177511040721 is a deficient number, since it is larger than the sum of its proper divisors (30682673279).

1177511040721 is a wasteful number, since it uses less digits than its factorization.

1177511040721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19140.

The product of its (nonzero) digits is 13720, while the sum is 37.

The spelling of 1177511040721 in words is "one trillion, one hundred seventy-seven billion, five hundred eleven million, forty thousand, seven hundred twenty-one".