30198528000 has 768 divisors, whose sum is σ = 118667203200. Its totient is φ = 7549747200.

The previous prime is 30198527999. The next prime is 30198528011. The reversal of 30198528000 is 82589103.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117503872 + ... + 117504128.

Almost surely, 2^30198528000 is an apocalyptic number.

30198528000 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 30198528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59333601600).

30198528000 is an abundant number, since it is smaller than the sum of its proper divisors (88468675200).

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

30198528000 is a wasteful number, since it uses less digits than its factorization.

30198528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 30198528000 in words is "thirty billion, one hundred ninety-eight million, five hundred twenty-eight thousand".