261295464705408 has 1536 divisors, whose sum is σ = 986913569664000. Its totient is φ = 67545203539968.

The previous prime is 261295464705377. The next prime is 261295464705413. The reversal of 261295464705408 is 804507464592162.

261295464705408 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 9 + 5 + 46 + 47 + 0 + 540 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54244437016 + ... + 54244441832.

It is an arithmetic number, because the mean of its divisors is an integer number (642521855250).

Almost surely, 2^{261295464705408} is an apocalyptic number.

261295464705408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261295464705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493456784832000).

261295464705408 is an abundant number, since it is smaller than the sum of its proper divisors (725618104958592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261295464705408 is a wasteful number, since it uses less digits than its factorization.

261295464705408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 261295464705408 in words is "two hundred sixty-one trillion, two hundred ninety-five billion, four hundred sixty-four million, seven hundred five thousand, four hundred eight".