261847407360 has 1728 divisors, whose sum is σ = 1127424614400. Its totient is φ = 51661209600.

The previous prime is 261847407319. The next prime is 261847407361. The reversal of 261847407360 is 63704748162.

It is a happy number.

261847407360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261847407361) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4940517094 + ... + 4940517146.

It is an arithmetic number, because the mean of its divisors is an integer number (652444800).

Almost surely, 2^261847407360 is an apocalyptic number.

261847407360 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 261847407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563712307200).

261847407360 is an abundant number, since it is smaller than the sum of its proper divisors (865577207040).

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

261847407360 is a wasteful number, since it uses less digits than its factorization.

261847407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 261847407360 in words is "two hundred sixty-one billion, eight hundred forty-seven million, four hundred seven thousand, three hundred sixty".