30295950960 has 240 divisors, whose sum is σ = 103866352128. Its totient is φ = 7299325440.

The previous prime is 30295950929. The next prime is 30295950961. The reversal of 30295950960 is 6905959203.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30295950961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4846557 + ... + 4852803.

Almost surely, 2^30295950960 is an apocalyptic number.

30295950960 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 30295950960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51933176064).

30295950960 is an abundant number, since it is smaller than the sum of its proper divisors (73570401168).

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

30295950960 is a wasteful number, since it uses less digits than its factorization.

30295950960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 48.

The spelling of 30295950960 in words is "thirty billion, two hundred ninety-five million, nine hundred fifty thousand, nine hundred sixty".