261534400115655 has 64 divisors (see below), whose sum is σ = 433592248320000. Its totient is φ = 134455052777472.

The previous prime is 261534400115623. The next prime is 261534400115657. The reversal of 261534400115655 is 556511004435162.

It is not a de Polignac number, because 261534400115655 - 2⁵ = 261534400115623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261534400115657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2678262271 + ... + 2678359919.

It is an arithmetic number, because the mean of its divisors is an integer number (6774878880000).

Almost surely, 2^{261534400115655} is an apocalyptic number.

261534400115655 is a deficient number, since it is larger than the sum of its proper divisors (172057848204345).

261534400115655 is a wasteful number, since it uses less digits than its factorization.

261534400115655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107688.

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 261534400115655 in words is "two hundred sixty-one trillion, five hundred thirty-four billion, four hundred million, one hundred fifteen thousand, six hundred fifty-five".