261498285360 has 1280 divisors, whose sum is σ = 1088570327040. Its totient is φ = 57065472000.

The previous prime is 261498285353. The next prime is 261498285371. The reversal of 261498285360 is 63582894162.

261498285360 is a `hidden beast` number, since 2 + 6 + 14 + 98 + 2 + 8 + 536 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 261498285297 and 261498285306.

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 255 ways as a sum of consecutive naturals, for example, 606724345 + ... + 606724775.

It is an arithmetic number, because the mean of its divisors is an integer number (850445568).

Almost surely, 2^261498285360 is an apocalyptic number.

261498285360 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 261498285360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544285163520).

261498285360 is an abundant number, since it is smaller than the sum of its proper divisors (827072041680).

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

261498285360 is a wasteful number, since it uses less digits than its factorization.

261498285360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 261498285360 in words is "two hundred sixty-one billion, four hundred ninety-eight million, two hundred eighty-five thousand, three hundred sixty".