261876787200 has 864 divisors, whose sum is σ = 1128530894400. Its totient is φ = 56693882880.

The previous prime is 261876787199. The next prime is 261876787201. The reversal of 261876787200 is 2787678162.

It is a happy number.

261876787200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261876787199) and next prime (261876787201).

It is not an unprimeable number, because it can be changed into a prime (261876787201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61284264 + ... + 61288536.

Almost surely, 2^261876787200 is an apocalyptic number.

261876787200 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 261876787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564265447200).

261876787200 is an abundant number, since it is smaller than the sum of its proper divisors (866654107200).

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

261876787200 is a wasteful number, since it uses less digits than its factorization.

261876787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

It can be divided in two parts, 261876 and 787200, that added together give a triangular number (1049076 = T₁₄₄₈).

The spelling of 261876787200 in words is "two hundred sixty-one billion, eight hundred seventy-six million, seven hundred eighty-seven thousand, two hundred".