261346669240320 has 896 divisors, whose sum is σ = 934409149516800. Its totient is φ = 69301243478016.

The previous prime is 261346669240277. The next prime is 261346669240333. The reversal of 261346669240320 is 23042966643162.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185483795776 + ... + 185483797184.

Almost surely, 2^{261346669240320} is an apocalyptic number.

261346669240320 is a gapful number since it is divisible by the number (20) 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 261346669240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467204574758400).

261346669240320 is an abundant number, since it is smaller than the sum of its proper divisors (673062480276480).

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

261346669240320 is a wasteful number, since it uses less digits than its factorization.

261346669240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 261346669240320 in words is "two hundred sixty-one trillion, three hundred forty-six billion, six hundred sixty-nine million, two hundred forty thousand, three hundred twenty".