130063834281600 has 576 divisors, whose sum is σ = 464954569049880. Its totient is φ = 34619719680000.

The previous prime is 130063834281587. The next prime is 130063834281631. The reversal of 130063834281600 is 6182438360031.

130063834281600 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 6 + 3 + 8 + 34 + 2 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4783808844864 + 125280025436736 = 2187192^2 + 11192856^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64483803792 + ... + 64483805808.

Almost surely, 2^{130063834281600} is an apocalyptic number.

130063834281600 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 130063834281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232477284524940).

130063834281600 is an abundant number, since it is smaller than the sum of its proper divisors (334890734768280).

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

130063834281600 is a wasteful number, since it uses less digits than its factorization.

130063834281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 130063834281600 in words is "one hundred thirty trillion, sixty-three billion, eight hundred thirty-four million, two hundred eighty-one thousand, six hundred".