130197860352000 has 1792 divisors, whose sum is σ = 556924210315200. Its totient is φ = 29754733363200.

The previous prime is 130197860351983. The next prime is 130197860352017. The reversal of 130197860352000 is 253068791031.

130197860352000 is a `hidden beast` number, since 1 + 3 + 0 + 19 + 7 + 8 + 603 + 5 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130197860351983) and next prime (130197860352017).

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20901884886 + ... + 20901891114.

Almost surely, 2^{130197860352000} is an apocalyptic number.

130197860352000 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 130197860352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278462105157600).

130197860352000 is an abundant number, since it is smaller than the sum of its proper divisors (426726349963200).

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

130197860352000 is an frugal number, since it uses more digits than its factorization.

130197860352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 130197860352000 in words is "one hundred thirty trillion, one hundred ninety-seven billion, eight hundred sixty million, three hundred fifty-two thousand".