30887981849088 has 2240 divisors, whose sum is σ = 118368878073600. Its totient is φ = 7995724627968.

The previous prime is 30887981849051. The next prime is 30887981849093. The reversal of 30887981849088 is 88094818978803.

30887981849088 is a `hidden beast` number, since 30 + 8 + 8 + 7 + 9 + 8 + 18 + 490 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 30887981848998 and 30887981849016.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 111508959606 + ... + 111508959882.

It is an arithmetic number, because the mean of its divisors is an integer number (52843249140).

Almost surely, 2^{30887981849088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30887981849088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59184439036800).

30887981849088 is an abundant number, since it is smaller than the sum of its proper divisors (87480896224512).

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

30887981849088 is an frugal number, since it uses more digits than its factorization.

30887981849088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1783627776, while the sum is 81.

The spelling of 30887981849088 in words is "thirty trillion, eight hundred eighty-seven billion, nine hundred eighty-one million, eight hundred forty-nine thousand, eighty-eight".