261003352896 has 336 divisors, whose sum is σ = 911468970048. Its totient is φ = 73007308800.

The previous prime is 261003352867. The next prime is 261003352903. The reversal of 261003352896 is 698253300162.

261003352896 is a `hidden beast` number, since 2 + 6 + 1 + 0 + 0 + 33 + 528 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2165256 + ... + 2282616.

It is an arithmetic number, because the mean of its divisors is an integer number (2712705268).

Almost surely, 2^261003352896 is an apocalyptic number.

261003352896 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 261003352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455734485024).

261003352896 is an abundant number, since it is smaller than the sum of its proper divisors (650465617152).

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

261003352896 is a wasteful number, since it uses less digits than its factorization.

261003352896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117412 (or 117390 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 261003352896 in words is "two hundred sixty-one billion, three million, three hundred fifty-two thousand, eight hundred ninety-six".