130695801600 has 1728 divisors, whose sum is σ = 581367234560. Its totient is φ = 25082265600.

The previous prime is 130695801589. The next prime is 130695801637. The reversal of 130695801600 is 6108596031.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 191 ways as a sum of consecutive naturals, for example, 1029100737 + ... + 1029100863.

Almost surely, 2^130695801600 is an apocalyptic number.

130695801600 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 130695801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290683617280).

130695801600 is an abundant number, since it is smaller than the sum of its proper divisors (450671432960).

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

130695801600 is a wasteful number, since it uses less digits than its factorization.

130695801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

It can be divided in two parts, 130695 and 801600, that added together give a triangular number (932295 = T₁₃₆₅).

The spelling of 130695801600 in words is "one hundred thirty billion, six hundred ninety-five million, eight hundred one thousand, six hundred".