130186077465600 has 1056 divisors, whose sum is σ = 545141339346240. Its totient is φ = 30160721018880.

The previous prime is 130186077465581. The next prime is 130186077465643. The reversal of 130186077465600 is 6564770681031.

130186077465600 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 8 + 6 + 0 + 7 + 74 + 6 + 560 + 0 = 666.

130186077465600 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 95 ways as a sum of consecutive naturals, for example, 152329074 + ... + 153181326.

Almost surely, 2^{130186077465600} is an apocalyptic number.

130186077465600 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 130186077465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272570669673120).

130186077465600 is an abundant number, since it is smaller than the sum of its proper divisors (414955261880640).

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

130186077465600 is a wasteful number, since it uses less digits than its factorization.

130186077465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852322 (or 852293 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 130186077465600 in words is "one hundred thirty trillion, one hundred eighty-six billion, seventy-seven million, four hundred sixty-five thousand, six hundred".