65540205658401 has 16 divisors (see below), whose sum is σ = 90430407413760. Its totient is φ = 42172741296000.

The previous prime is 65540205658393. The next prime is 65540205658463. The reversal of 65540205658401 is 10485650204556.

It is not a de Polignac number, because 65540205658401 - 2³ = 65540205658393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (65540205658001) 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, 125253025 + ... + 125775198.

It is an arithmetic number, because the mean of its divisors is an integer number (5651900463360).

Almost surely, 2^{65540205658401} is an apocalyptic number.

It is an amenable number.

65540205658401 is a deficient number, since it is larger than the sum of its proper divisors (24890201755359).

65540205658401 is a wasteful number, since it uses less digits than its factorization.

65540205658401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251031256.

The product of its (nonzero) digits is 5760000, while the sum is 51.

The spelling of 65540205658401 in words is "sixty-five trillion, five hundred forty billion, two hundred five million, six hundred fifty-eight thousand, four hundred one".