30889145232000 has 3072 divisors, whose sum is σ = 130244216094720. Its totient is φ = 7271244288000.

The previous prime is 30889145231927. The next prime is 30889145232083. The reversal of 30889145232000 is 23254198803.

30889145232000 is a `hidden beast` number, since 3 + 0 + 88 + 91 + 452 + 32 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×30889145232000³ (a number of 41 digits) contains 333 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 383 ways as a sum of consecutive naturals, for example, 243221615937 + ... + 243221616063.

It is an arithmetic number, because the mean of its divisors is an integer number (42397205760).

Almost surely, 2^{30889145232000} is an apocalyptic number.

30889145232000 is a gapful number since it is divisible by the number (30) 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 30889145232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65122108047360).

30889145232000 is an abundant number, since it is smaller than the sum of its proper divisors (99355070862720).

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

30889145232000 is an equidigital number, since it uses as much as digits as its factorization.

30889145232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 30889145232000 in words is "thirty trillion, eight hundred eighty-nine billion, one hundred forty-five million, two hundred thirty-two thousand".