130388349611520 has 7680 divisors, whose sum is σ = 672376845127680. Its totient is φ = 23104349798400.

The previous prime is 130388349611407. The next prime is 130388349611521. The reversal of 130388349611520 is 25116943883031.

It is a happy number.

130388349611520 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 88 + 34 + 9 + 6 + 1 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a super-2 number, since 2×130388349611520² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (130388349611521) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2460157539814 + ... + 2460157539866.

It is an arithmetic number, because the mean of its divisors is an integer number (87549068376).

Almost surely, 2^{130388349611520} is an apocalyptic number.

130388349611520 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 130388349611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336188422563840).

130388349611520 is an abundant number, since it is smaller than the sum of its proper divisors (541988495516160).

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

130388349611520 is a wasteful number, since it uses less digits than its factorization.

130388349611520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 130388349611520 in words is "one hundred thirty trillion, three hundred eighty-eight billion, three hundred forty-nine million, six hundred eleven thousand, five hundred twenty".