130980878784 has 336 divisors, whose sum is σ = 435953708736. Its totient is φ = 36827136000.

The previous prime is 130980878737. The next prime is 130980878789. The reversal of 130980878784 is 487878089031.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130980878789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73708104 + ... + 73709880.

It is an arithmetic number, because the mean of its divisors is an integer number (1297481276).

Almost surely, 2^130980878784 is an apocalyptic number.

130980878784 is a gapful number since it is divisible by the number (14) 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 130980878784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217976854368).

130980878784 is an abundant number, since it is smaller than the sum of its proper divisors (304972829952).

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

130980878784 is a wasteful number, since it uses less digits than its factorization.

130980878784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 130980878784 in words is "one hundred thirty billion, nine hundred eighty million, eight hundred seventy-eight thousand, seven hundred eighty-four".