130672011165696 has 2880 divisors, whose sum is σ = 530268832844800. Its totient is φ = 30943393873920.

The previous prime is 130672011165667. The next prime is 130672011165721. The reversal of 130672011165696 is 696561110276031.

130672011165696 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 72 + 0 + 1 + 1 + 1 + 6 + 569 + 6 = 666.

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 191 ways as a sum of consecutive naturals, for example, 677057052576 + ... + 677057052768.

Almost surely, 2^{130672011165696} is an apocalyptic number.

130672011165696 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 130672011165696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265134416422400).

130672011165696 is an abundant number, since it is smaller than the sum of its proper divisors (399596821679104).

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

130672011165696 is a wasteful number, since it uses less digits than its factorization.

130672011165696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 130672011165696 in words is "one hundred thirty trillion, six hundred seventy-two billion, eleven million, one hundred sixty-five thousand, six hundred ninety-six".