261093974400 has 1344 divisors, whose sum is σ = 1128059942400. Its totient is φ = 58450636800.

The previous prime is 261093974389. The next prime is 261093974417. The reversal of 261093974400 is 4479390162.

It is a happy number.

261093974400 is a `hidden beast` number, since 26 + 10 + 93 + 97 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 963446265 + ... + 963446535.

Almost surely, 2^261093974400 is an apocalyptic number.

261093974400 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 261093974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564029971200).

261093974400 is an abundant number, since it is smaller than the sum of its proper divisors (866965968000).

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

261093974400 is an equidigital number, since it uses as much as digits as its factorization.

261093974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 261093974400 in words is "two hundred sixty-one billion, ninety-three million, nine hundred seventy-four thousand, four hundred".