261936039375360 has 1920 divisors, whose sum is σ = 1126583074425600. Its totient is φ = 57448421130240.

The previous prime is 261936039375359. The next prime is 261936039375371. The reversal of 261936039375360 is 63573930639162.

261936039375360 is a `hidden beast` number, since 2 + 6 + 1 + 9 + 3 + 6 + 0 + 3 + 93 + 7 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×261936039375360² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16009773580 + ... + 16009789940.

It is an arithmetic number, because the mean of its divisors is an integer number (586762017930).

Almost surely, 2^{261936039375360} is an apocalyptic number.

261936039375360 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 261936039375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563291537212800).

261936039375360 is an abundant number, since it is smaller than the sum of its proper divisors (864647035050240).

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

261936039375360 is a wasteful number, since it uses less digits than its factorization.

261936039375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16599 (or 16570 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 63.

The spelling of 261936039375360 in words is "two hundred sixty-one trillion, nine hundred thirty-six billion, thirty-nine million, three hundred seventy-five thousand, three hundred sixty".