30102987875328 has 264 divisors, whose sum is σ = 94089602686560. Its totient is φ = 9506203545600.

The previous prime is 30102987875291. The next prime is 30102987875329. The reversal of 30102987875328 is 82357878920103.

30102987875328 is a `hidden beast` number, since 3 + 0 + 1 + 0 + 2 + 98 + 7 + 8 + 7 + 532 + 8 = 666.

It is a super-2 number, since 2×30102987875328² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30102987875329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8472903 + ... + 11488953.

Almost surely, 2^{30102987875328} is an apocalyptic number.

30102987875328 is a gapful number since it is divisible by the number (38) 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 30102987875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47044801343280).

30102987875328 is an abundant number, since it is smaller than the sum of its proper divisors (63986614811232).

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

30102987875328 is a wasteful number, since it uses less digits than its factorization.

30102987875328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016118 (or 3016075 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 30102987875328 in words is "thirty trillion, one hundred two billion, nine hundred eighty-seven million, eight hundred seventy-five thousand, three hundred twenty-eight".