30149200080 has 160 divisors (see below), whose sum is σ = 104595388800. Its totient is φ = 7981867008.

The previous prime is 30149200061. The next prime is 30149200117. The reversal of 30149200080 is 8000294103.

It is a super-3 number, since 3×30149200080³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250032 + ... + 350448.

It is an arithmetic number, because the mean of its divisors is an integer number (653721180).

Almost surely, 2^30149200080 is an apocalyptic number.

30149200080 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 30149200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52297694400).

30149200080 is an abundant number, since it is smaller than the sum of its proper divisors (74446188720).

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

30149200080 is a wasteful number, since it uses less digits than its factorization.

30149200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100578 (or 100566 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 30149200080 its reverse (8000294103), we get a palindrome (38149494183).

The spelling of 30149200080 in words is "thirty billion, one hundred forty-nine million, two hundred thousand, eighty".