261746776598400 has 1152 divisors, whose sum is σ = 1000937019264000. Its totient is φ = 67541577062400.

The previous prime is 261746776598387. The next prime is 261746776598467. The reversal of 261746776598400 is 4895677647162.

261746776598400 is a `hidden beast` number, since 2 + 6 + 1 + 7 + 4 + 6 + 77 + 65 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×261746776598400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23165475951 + ... + 23165487249.

Almost surely, 2^{261746776598400} is an apocalyptic number.

261746776598400 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 261746776598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500468509632000).

261746776598400 is an abundant number, since it is smaller than the sum of its proper divisors (739190242665600).

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

261746776598400 is an frugal number, since it uses more digits than its factorization.

261746776598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11431 (or 11340 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 261746776598400 in words is "two hundred sixty-one trillion, seven hundred forty-six billion, seven hundred seventy-six million, five hundred ninety-eight thousand, four hundred".