130527884160 has 640 divisors, whose sum is σ = 496518660000. Its totient is φ = 32583057408.

The previous prime is 130527884153. The next prime is 130527884173. The reversal of 130527884160 is 61488725031.

130527884160 is a `hidden beast` number, since 1 + 3 + 0 + 527 + 88 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87660696 + ... + 87662184.

Almost surely, 2^130527884160 is an apocalyptic number.

130527884160 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 130527884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248259330000).

130527884160 is an abundant number, since it is smaller than the sum of its proper divisors (365990775840).

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

130527884160 is a wasteful number, since it uses less digits than its factorization.

130527884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 130527884160 in words is "one hundred thirty billion, five hundred twenty-seven million, eight hundred eighty-four thousand, one hundred sixty".