130263367680 has 720 divisors, whose sum is σ = 504213353280. Its totient is φ = 30916214784.

The previous prime is 130263367523. The next prime is 130263367687. The reversal of 130263367680 is 86763362031.

130263367680 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 633 + 6 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130263367687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238141167 + ... + 238141713.

It is an arithmetic number, because the mean of its divisors is an integer number (700296324).

Almost surely, 2^130263367680 is an apocalyptic number.

130263367680 is a gapful number since it is divisible by the number (10) 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 130263367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252106676640).

130263367680 is an abundant number, since it is smaller than the sum of its proper divisors (373949985600).

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

130263367680 is a wasteful number, since it uses less digits than its factorization.

130263367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 130263367680 in words is "one hundred thirty billion, two hundred sixty-three million, three hundred sixty-seven thousand, six hundred eighty".