2120564485537 has 16 divisors (see below), whose sum is σ = 2169441320400. Its totient is φ = 2072293632000.

The previous prime is 2120564485463. The next prime is 2120564485549. The reversal of 2120564485537 is 7355844650212.

It can be written as a sum of positive squares in 8 ways, for example, as 136328976 + 2120428156561 = 11676^2 + 1456169^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2120564485537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120564480537) 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, 4118587 + ... + 4604767.

It is an arithmetic number, because the mean of its divisors is an integer number (135590082525).

Almost surely, 2^{2120564485537} is an apocalyptic number.

It is an amenable number.

2120564485537 is a deficient number, since it is larger than the sum of its proper divisors (48876834863).

2120564485537 is a wasteful number, since it uses less digits than its factorization.

2120564485537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486804.

The product of its (nonzero) digits is 8064000, while the sum is 52.

The spelling of 2120564485537 in words is "two trillion, one hundred twenty billion, five hundred sixty-four million, four hundred eighty-five thousand, five hundred thirty-seven".