1087746788401 has 81 divisors (see below), whose sum is σ = 1398090097251. Its totient is φ = 843438645504.

The previous prime is 1087746788389. The next prime is 1087746788407. The reversal of 1087746788401 is 1048876477801.

It is a happy number.

The square root of 1087746788401 is 1042951.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1021504383025 + 66242405376 = 1010695^2 + 257376^2 .

It is not a de Polignac number, because 1087746788401 - 2³⁵ = 1053387050033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1087746788401.

It is not an unprimeable number, because it can be changed into a prime (1087746788407) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 6928323415 + ... + 6928323571.

It is an arithmetic number, because the mean of its divisors is an integer number (17260371571).

Almost surely, 2^{1087746788401} is an apocalyptic number.

1087746788401 is the 1042951-st square number.

1087746788401 is the 521476-th centered octagonal number.

It is an amenable number.

1087746788401 is a deficient number, since it is larger than the sum of its proper divisors (310343308850).

1087746788401 is an frugal number, since it uses more digits than its factorization.

1087746788401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 16859136, while the sum is 61.

The spelling of 1087746788401 in words is "one trillion, eighty-seven billion, seven hundred forty-six million, seven hundred eighty-eight thousand, four hundred one".