10737542758761 has 135 divisors (see below), whose sum is σ = 20209565598453. Its totient is φ = 5662343232000.

The previous prime is 10737542758753. The next prime is 10737542758769. The reversal of 10737542758761 is 16785724573701.

The square root of 10737542758761 is 3276819.

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

10737542758761 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 7 + 5 + 42 + 7 + 587 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10737542758753) and next prime (10737542758769).

It can be written as a sum of positive squares in 4 ways, for example, as 7350632552025 + 3386910206736 = 2711205^2 + 1840356^2 .

It is not a de Polignac number, because 10737542758761 - 2³ = 10737542758753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10737542758769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2683712761 + ... + 2683716761.

Almost surely, 2^{10737542758761} is an apocalyptic number.

10737542758761 is the 3276819-th square number.

10737542758761 is the 1638410-th centered octagonal number.

It is an amenable number.

10737542758761 is a deficient number, since it is larger than the sum of its proper divisors (9472022839692).

10737542758761 is an frugal number, since it uses more digits than its factorization.

10737542758761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 10737542758761 in words is "ten trillion, seven hundred thirty-seven billion, five hundred forty-two million, seven hundred fifty-eight thousand, seven hundred sixty-one".