130075061760 has 640 divisors, whose sum is σ = 534722918400. Its totient is φ = 29722484736.

The previous prime is 130075061749. The next prime is 130075061761. The reversal of 130075061760 is 67160570031.

130075061760 is a `hidden beast` number, since 1 + 30 + 0 + 7 + 5 + 0 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130075061761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39189381 + ... + 39192699.

It is an arithmetic number, because the mean of its divisors is an integer number (835504560).

Almost surely, 2^130075061760 is an apocalyptic number.

130075061760 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 130075061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267361459200).

130075061760 is an abundant number, since it is smaller than the sum of its proper divisors (404647856640).

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

130075061760 is an frugal number, since it uses more digits than its factorization.

130075061760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 130075061760 in words is "one hundred thirty billion, seventy-five million, sixty-one thousand, seven hundred sixty".