130107672576 has 576 divisors, whose sum is σ = 463095360000. Its totient is φ = 35951247360.

The previous prime is 130107672559. The next prime is 130107672593. The reversal of 130107672576 is 675276701031.

130107672576 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 0 + 7 + 6 + 72 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (130107672559) and next prime (130107672593).

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83993850 + ... + 83995398.

It is an arithmetic number, because the mean of its divisors is an integer number (803985000).

Almost surely, 2^130107672576 is an apocalyptic number.

130107672576 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 130107672576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680000).

130107672576 is an abundant number, since it is smaller than the sum of its proper divisors (332987687424).

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

130107672576 is a wasteful number, since it uses less digits than its factorization.

130107672576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 130107672576 in words is "one hundred thirty billion, one hundred seven million, six hundred seventy-two thousand, five hundred seventy-six".