261890703360 has 1632 divisors, whose sum is σ = 1154196546048. Its totient is φ = 56056872960.

The previous prime is 261890703343. The next prime is 261890703367. The reversal of 261890703360 is 63307098162.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261890703367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11386552309 + ... + 11386552331.

Almost surely, 2^261890703360 is an apocalyptic number.

261890703360 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 261890703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577098273024).

261890703360 is an abundant number, since it is smaller than the sum of its proper divisors (892305842688).

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

261890703360 is an equidigital number, since it uses as much as digits as its factorization.

261890703360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 261890703360 in words is "two hundred sixty-one billion, eight hundred ninety million, seven hundred three thousand, three hundred sixty".