261755577400 has 96 divisors (see below), whose sum is σ = 611703638640. Its totient is φ = 104166466560.

The previous prime is 261755577313. The next prime is 261755577443. The reversal of 261755577400 is 4775557162.

261755577400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34864447 + ... + 34871953.

Almost surely, 2^261755577400 is an apocalyptic number.

261755577400 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 261755577400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305851819320).

261755577400 is an abundant number, since it is smaller than the sum of its proper divisors (349948061240).

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

261755577400 is a wasteful number, since it uses less digits than its factorization.

261755577400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8393 (or 8384 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 49.

The spelling of 261755577400 in words is "two hundred sixty-one billion, seven hundred fifty-five million, five hundred seventy-seven thousand, four hundred".