30187142880 has 96 divisors (see below), whose sum is σ = 95116944384. Its totient is φ = 8047581696.

The previous prime is 30187142837. The next prime is 30187142941. The reversal of 30187142880 is 8824178103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×30187142880³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2231497 + ... + 2244983.

It is an arithmetic number, because the mean of its divisors is an integer number (990801504).

Almost surely, 2^30187142880 is an apocalyptic number.

30187142880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30187142880 is an abundant number, since it is smaller than the sum of its proper divisors (64929801504).

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

30187142880 is a wasteful number, since it uses less digits than its factorization.

30187142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18168 (or 18160 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 30187142880 in words is "thirty billion, one hundred eighty-seven million, one hundred forty-two thousand, eight hundred eighty".