130665506400 has 1440 divisors, whose sum is σ = 571688409600. Its totient is φ = 28623974400.

The previous prime is 130665506383. The next prime is 130665506431. The reversal of 130665506400 is 4605566031.

130665506400 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 6 + 5 + 5 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 546717481 + ... + 546717719.

It is an arithmetic number, because the mean of its divisors is an integer number (397005840).

Almost surely, 2^130665506400 is an apocalyptic number.

130665506400 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 130665506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285844204800).

130665506400 is an abundant number, since it is smaller than the sum of its proper divisors (441022903200).

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

130665506400 is a wasteful number, since it uses less digits than its factorization.

130665506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 130665506400 in words is "one hundred thirty billion, six hundred sixty-five million, five hundred six thousand, four hundred".