130393048968000 has 1680 divisors, whose sum is σ = 604307463583824. Its totient is φ = 27511413350400.

The previous prime is 130393048967999. The next prime is 130393048968001. The reversal of 130393048968000 is 869840393031.

130393048968000 is a `hidden beast` number, since 13 + 0 + 3 + 93 + 0 + 489 + 68 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130393048967999) and next prime (130393048968001).

It can be written as a sum of positive squares in 8 ways, for example, as 21738943550016 + 108654105417984 = 4662504^2 + 10423728^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

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 (130393048968001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 412618054 + ... + 412933946.

Almost surely, 2^{130393048968000} is an apocalyptic number.

130393048968000 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 130393048968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302153731791912).

130393048968000 is an abundant number, since it is smaller than the sum of its proper divisors (473914414615824).

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

130393048968000 is a wasteful number, since it uses less digits than its factorization.

130393048968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315959 (or 315923 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 130393048968000 in words is "one hundred thirty trillion, three hundred ninety-three billion, forty-eight million, nine hundred sixty-eight thousand".