261547417976 has 64 divisors (see below), whose sum is σ = 533720140800. Its totient is φ = 119440355328.

The previous prime is 261547417969. The next prime is 261547417991. The reversal of 261547417976 is 679714745162.

261547417976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4900040 + ... + 4953128.

It is an arithmetic number, because the mean of its divisors is an integer number (8339377200).

Almost surely, 2^261547417976 is an apocalyptic number.

261547417976 is a gapful number since it is divisible by the number (26) 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 261547417976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266860070400).

261547417976 is an abundant number, since it is smaller than the sum of its proper divisors (272172722824).

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

261547417976 is a wasteful number, since it uses less digits than its factorization.

261547417976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53608 (or 53604 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 59.

The spelling of 261547417976 in words is "two hundred sixty-one billion, five hundred forty-seven million, four hundred seventeen thousand, nine hundred seventy-six".