30689280000 has 750 divisors, whose sum is σ = 117667542146. Its totient is φ = 7962624000.

The previous prime is 30689279987. The next prime is 30689280047. The reversal of 30689280000 is 8298603.

It can be written as a sum of positive squares in 5 ways, for example, as 5780865024 + 24908414976 = 76032^2 + 157824^2 .

It is a tau number, because it is divible by the number of its divisors (750).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 829439982 + ... + 829440018.

Almost surely, 2^30689280000 is an apocalyptic number.

30689280000 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 30689280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58833771073).

30689280000 is an abundant number, since it is smaller than the sum of its proper divisors (86978262146).

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

30689280000 is an frugal number, since it uses more digits than its factorization.

30689280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 30689280000 in words is "thirty billion, six hundred eighty-nine million, two hundred eighty thousand".