130819236312960 has 3072 divisors, whose sum is σ = 566203188096000. Its totient is φ = 28512946225152.

The previous prime is 130819236312949. The next prime is 130819236312997. The reversal of 130819236312960 is 69213632918031.

130819236312960 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 1 + 9 + 236 + 312 + 96 + 0 = 666.

It is a super-2 number, since 2×130819236312960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 130819236312897 and 130819236312906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 106443641626 + ... + 106443642854.

It is an arithmetic number, because the mean of its divisors is an integer number (184310933625).

Almost surely, 2^{130819236312960} is an apocalyptic number.

130819236312960 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 130819236312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283101594048000).

130819236312960 is an abundant number, since it is smaller than the sum of its proper divisors (435383951783040).

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

130819236312960 is a wasteful number, since it uses less digits than its factorization.

130819236312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 130819236312960 in words is "one hundred thirty trillion, eight hundred nineteen billion, two hundred thirty-six million, three hundred twelve thousand, nine hundred sixty".