30145635679200 has 144 divisors (see below), whose sum is σ = 98144856827136. Its totient is φ = 8037131097600.

The previous prime is 30145635679199. The next prime is 30145635679259. The reversal of 30145635679200 is 297653654103.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10005465 + ... + 12664935.

It is an arithmetic number, because the mean of its divisors is an integer number (681561505744).

Almost surely, 2^{30145635679200} is an apocalyptic number.

30145635679200 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 30145635679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49072428413568).

30145635679200 is an abundant number, since it is smaller than the sum of its proper divisors (67999221147936).

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

30145635679200 is a wasteful number, since it uses less digits than its factorization.

30145635679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664217 (or 2664204 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 30145635679200 in words is "thirty trillion, one hundred forty-five billion, six hundred thirty-five million, six hundred seventy-nine thousand, two hundred".