261404907216896 has 448 divisors, whose sum is σ = 561018613190400. Its totient is φ = 121586162073600.

The previous prime is 261404907216883. The next prime is 261404907216991. The reversal of 261404907216896 is 698612709404162.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192068263256 + ... + 192068264616.

Almost surely, 2^{261404907216896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261404907216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280509306595200).

261404907216896 is an abundant number, since it is smaller than the sum of its proper divisors (299613705973504).

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

261404907216896 is a wasteful number, since it uses less digits than its factorization.

261404907216896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 65.

The spelling of 261404907216896 in words is "two hundred sixty-one trillion, four hundred four billion, nine hundred seven million, two hundred sixteen thousand, eight hundred ninety-six".