261502876800 has 432 divisors, whose sum is σ = 1025654920290. Its totient is φ = 63393792000.

The previous prime is 261502876769. The next prime is 261502876813. The reversal of 261502876800 is 8678205162.

261502876800 is a `hidden beast` number, since 2 + 6 + 1 + 502 + 87 + 68 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 240343101504 + 21159775296 = 490248^2 + 145464^2 .

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

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 53 ways as a sum of consecutive naturals, for example, 3447280 + ... + 3522320.

Almost surely, 2^261502876800 is an apocalyptic number.

261502876800 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 261502876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512827460145).

261502876800 is an abundant number, since it is smaller than the sum of its proper divisors (764152043490).

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

261502876800 is a wasteful number, since it uses less digits than its factorization.

261502876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75093 (or 75062 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 261502876800 in words is "two hundred sixty-one billion, five hundred two million, eight hundred seventy-six thousand, eight hundred".