261063114922896 has 320 divisors, whose sum is σ = 794030158817280. Its totient is φ = 72866965893120.

The previous prime is 261063114922873. The next prime is 261063114922919. The reversal of 261063114922896 is 698229411360162.

It is an interprime number because it is at equal distance from previous prime (261063114922873) and next prime (261063114922919).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6011517535 + ... + 6011560961.

It is an arithmetic number, because the mean of its divisors is an integer number (2481344246304).

Almost surely, 2^{261063114922896} is an apocalyptic number.

261063114922896 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 261063114922896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397015079408640).

261063114922896 is an abundant number, since it is smaller than the sum of its proper divisors (532967043894384).

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

261063114922896 is a wasteful number, since it uses less digits than its factorization.

261063114922896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45334 (or 45328 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 261063114922896 in words is "two hundred sixty-one trillion, sixty-three billion, one hundred fourteen million, nine hundred twenty-two thousand, eight hundred ninety-six".