130727895217920 has 1728 divisors, whose sum is σ = 629784235551744. Its totient is φ = 25074621480960.

The previous prime is 130727895217919. The next prime is 130727895217961. The reversal of 130727895217920 is 29712598727031.

130727895217920 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 2 + 7 + 89 + 521 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-4 number, since 4×130727895217920⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 311141104 + ... + 311560976.

It is an arithmetic number, because the mean of its divisors is an integer number (364458469648).

Almost surely, 2^{130727895217920} is an apocalyptic number.

130727895217920 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 130727895217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314892117775872).

130727895217920 is an abundant number, since it is smaller than the sum of its proper divisors (499056340333824).

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

130727895217920 is a wasteful number, since it uses less digits than its factorization.

130727895217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419940 (or 419914 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 130727895217920 in words is "one hundred thirty trillion, seven hundred twenty-seven billion, eight hundred ninety-five million, two hundred seventeen thousand, nine hundred twenty".