261992098368 has 672 divisors, whose sum is σ = 1067622716160. Its totient is φ = 59118059520.

The previous prime is 261992098337. The next prime is 261992098393. The reversal of 261992098368 is 863890299162.

261992098368 is a `hidden beast` number, since 2 + 61 + 9 + 9 + 209 + 8 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9788428 + ... + 9815156.

It is an arithmetic number, because the mean of its divisors is an integer number (1588724280).

Almost surely, 2^261992098368 is an apocalyptic number.

261992098368 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 261992098368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533811358080).

261992098368 is an abundant number, since it is smaller than the sum of its proper divisors (805630617792).

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

261992098368 is a wasteful number, since it uses less digits than its factorization.

261992098368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26795 (or 26782 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 261992098368 in words is "two hundred sixty-one billion, nine hundred ninety-two million, ninety-eight thousand, three hundred sixty-eight".