130695712842240 has 4800 divisors, whose sum is σ = 605582256254976. Its totient is φ = 26842037354496.

The previous prime is 130695712842221. The next prime is 130695712842263. The reversal of 130695712842240 is 42248217596031.

It is a happy number.

130695712842240 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 9 + 57 + 128 + 422 + 40 = 666.

130695712842240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1029100101057 + ... + 1029100101183.

It is a 1-persistent number, because it is pandigital, but 2⋅130695712842240 = 261391425684480 is not.

Almost surely, 2^{130695712842240} is an apocalyptic number.

130695712842240 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 130695712842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302791128127488).

130695712842240 is an abundant number, since it is smaller than the sum of its proper divisors (474886543412736).

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

130695712842240 is an frugal number, since it uses more digits than its factorization.

130695712842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 130695712842240 in words is "one hundred thirty trillion, six hundred ninety-five billion, seven hundred twelve million, eight hundred forty-two thousand, two hundred forty".