1540090882689 has 16 divisors (see below), whose sum is σ = 2054314301760. Its totient is φ = 1026297466880.

The previous prime is 1540090882651. The next prime is 1540090882709. The reversal of 1540090882689 is 9862880900451.

It is a cyclic number.

It is not a de Polignac number, because 1540090882689 - 2⁸ = 1540090882433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1540090882609) 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, 106286557 + ... + 106301045.

It is an arithmetic number, because the mean of its divisors is an integer number (128394643860).

Almost surely, 2^{1540090882689} is an apocalyptic number.

It is an amenable number.

1540090882689 is a deficient number, since it is larger than the sum of its proper divisors (514223419071).

1540090882689 is a wasteful number, since it uses less digits than its factorization.

1540090882689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26880.

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 1540090882689 in words is "one trillion, five hundred forty billion, ninety million, eight hundred eighty-two thousand, six hundred eighty-nine".