30507808100 has 144 divisors (see below), whose sum is σ = 84294604800. Its totient is φ = 9306499200.

The previous prime is 30507808063. The next prime is 30507808117. The reversal of 30507808100 is 180870503.

It is a super-2 number, since 2×30507808100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319751 + ... + 404049.

It is an arithmetic number, because the mean of its divisors is an integer number (585379200).

Almost surely, 2^30507808100 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 30507808100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42147302400).

30507808100 is an abundant number, since it is smaller than the sum of its proper divisors (53786796700).

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

30507808100 is a wasteful number, since it uses less digits than its factorization.

30507808100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84378 (or 84371 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 30507808100 in words is "thirty billion, five hundred seven million, eight hundred eight thousand, one hundred".