261619316112 has 480 divisors, whose sum is σ = 924196276224. Its totient is φ = 61737984000.

The previous prime is 261619316111. The next prime is 261619316113. The reversal of 261619316112 is 211613916162.

It is an interprime number because it is at equal distance from previous prime (261619316111) and next prime (261619316113).

It is not an unprimeable number, because it can be changed into a prime (261619316111) 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, 52839237 + ... + 52844187.

Almost surely, 2^261619316112 is an apocalyptic number.

261619316112 is a gapful number since it is divisible by the number (22) 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 261619316112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462098138112).

261619316112 is an abundant number, since it is smaller than the sum of its proper divisors (662576960112).

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

261619316112 is a wasteful number, since it uses less digits than its factorization.

261619316112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5020 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The spelling of 261619316112 in words is "two hundred sixty-one billion, six hundred nineteen million, three hundred sixteen thousand, one hundred twelve".