130263287616 has 1344 divisors, whose sum is σ = 519765442560. Its totient is φ = 31614105600.

The previous prime is 130263287611. The next prime is 130263287653. The reversal of 130263287616 is 616782362031.

130263287616 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 6 + 3 + 28 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130263287611) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4202041521 + ... + 4202041551.

It is an arithmetic number, because the mean of its divisors is an integer number (386730240).

Almost surely, 2^130263287616 is an apocalyptic number.

130263287616 is a gapful number since it is divisible by the number (16) 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 130263287616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259882721280).

130263287616 is an abundant number, since it is smaller than the sum of its proper divisors (389502154944).

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

130263287616 is an equidigital number, since it uses as much as digits as its factorization.

130263287616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 130263287616 in words is "one hundred thirty billion, two hundred sixty-three million, two hundred eighty-seven thousand, six hundred sixteen".