261877827600 has 225 divisors, whose sum is σ = 940189211533. Its totient is φ = 69809523840.

The previous prime is 261877827571. The next prime is 261877827613. The reversal of 261877827600 is 6728778162.

It is a happy number.

The square root of 261877827600 is 511740.

It is a perfect power (a square), and thus also a powerful number.

261877827600 is a `hidden beast` number, since 2 + 6 + 1 + 8 + 7 + 7 + 8 + 27 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94276017936 + 167601809664 = 307044^2 + 409392^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 92111779 + ... + 92114621.

Almost surely, 2^261877827600 is an apocalyptic number.

261877827600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

261877827600 is the 511740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261877827600

261877827600 is an abundant number, since it is smaller than the sum of its proper divisors (678311383933).

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

261877827600 is an frugal number, since it uses more digits than its factorization.

261877827600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 2853 counting only the distinct ones).

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

The spelling of 261877827600 in words is "two hundred sixty-one billion, eight hundred seventy-seven million, eight hundred twenty-seven thousand, six hundred".