130821894720000 has 6000 divisors, whose sum is σ = 594042515345664. Its totient is φ = 28366848000000.

The previous prime is 130821894719987. The next prime is 130821894720037. The reversal of 130821894720000 is 27498128031.

It is a happy number.

130821894720000 is a `hidden beast` number, since 1 + 308 + 21 + 89 + 47 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6000).

It is a super-2 number, since 2×130821894720000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 3190777919980 + ... + 3190777920020.

Almost surely, 2^{130821894720000} is an apocalyptic number.

130821894720000 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 130821894720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297021257672832).

130821894720000 is an abundant number, since it is smaller than the sum of its proper divisors (463220620625664).

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

130821894720000 is an equidigital number, since it uses as much as digits as its factorization.

130821894720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 130821894720000 in words is "one hundred thirty trillion, eight hundred twenty-one billion, eight hundred ninety-four million, seven hundred twenty thousand".