30288142080 has 504 divisors, whose sum is σ = 124340624352. Its totient is φ = 6921510912.

The previous prime is 30288142063. The next prime is 30288142109. The reversal of 30288142080 is 8024188203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6529522 + ... + 6534158.

It is an arithmetic number, because the mean of its divisors is an integer number (246707588).

Almost surely, 2^30288142080 is an apocalyptic number.

30288142080 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 30288142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62170312176).

30288142080 is an abundant number, since it is smaller than the sum of its proper divisors (94052482272).

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

30288142080 is an frugal number, since it uses more digits than its factorization.

30288142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 30288142080 in words is "thirty billion, two hundred eighty-eight million, one hundred forty-two thousand, eighty".