130783299840 has 720 divisors, whose sum is σ = 488811153600. Its totient is φ = 33484824576.

The previous prime is 130783299833. The next prime is 130783299853. The reversal of 130783299840 is 48992387031.

130783299840 is a `hidden beast` number, since 1 + 307 + 8 + 3 + 299 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 730632871 + ... + 730633049.

It is an arithmetic number, because the mean of its divisors is an integer number (678904380).

Almost surely, 2^130783299840 is an apocalyptic number.

130783299840 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 130783299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244405576800).

130783299840 is an abundant number, since it is smaller than the sum of its proper divisors (358027853760).

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

130783299840 is an frugal number, since it uses more digits than its factorization.

130783299840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 130783299840 in words is "one hundred thirty billion, seven hundred eighty-three million, two hundred ninety-nine thousand, eight hundred forty".