261070387200 has 2160 divisors, whose sum is σ = 1223174993040. Its totient is φ = 53721169920.

The previous prime is 261070387187. The next prime is 261070387247. The reversal of 261070387200 is 2783070162.

261070387200 is a `hidden beast` number, since 2 + 6 + 1 + 0 + 70 + 387 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 11350886389 + ... + 11350886411.

It is an arithmetic number, because the mean of its divisors is an integer number (566284719).

Almost surely, 2^261070387200 is an apocalyptic number.

261070387200 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 261070387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611587496520).

261070387200 is an abundant number, since it is smaller than the sum of its proper divisors (962104605840).

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

261070387200 is a wasteful number, since it uses less digits than its factorization.

261070387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 261070387200 in words is "two hundred sixty-one billion, seventy million, three hundred eighty-seven thousand, two hundred".