261160081713400 has 288 divisors, whose sum is σ = 650822345596800. Its totient is φ = 97433416396800.

The previous prime is 261160081713367. The next prime is 261160081713437. The reversal of 261160081713400 is 4317180061162.

261160081713400 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 (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1497124185 + ... + 1497298615.

It is an arithmetic number, because the mean of its divisors is an integer number (2259799811100).

Almost surely, 2^{261160081713400} is an apocalyptic number.

261160081713400 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 261160081713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325411172798400).

261160081713400 is an abundant number, since it is smaller than the sum of its proper divisors (389662263883400).

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

261160081713400 is a wasteful number, since it uses less digits than its factorization.

261160081713400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174807 (or 174779 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 261160081713400 in words is "two hundred sixty-one trillion, one hundred sixty billion, eighty-one million, seven hundred thirteen thousand, four hundred".