30505525960 has 256 divisors, whose sum is σ = 85745640960. Its totient is φ = 9510912000.

The previous prime is 30505525937. The next prime is 30505525961. The reversal of 30505525960 is 6952550503.

It is a happy number.

It is a super-2 number, since 2×30505525960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (30505525961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121535835 + ... + 121536085.

It is an arithmetic number, because the mean of its divisors is an integer number (334943910).

Almost surely, 2^30505525960 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 30505525960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42872820480).

30505525960 is an abundant number, since it is smaller than the sum of its proper divisors (55240115000).

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

30505525960 is a wasteful number, since it uses less digits than its factorization.

30505525960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 40.

The spelling of 30505525960 in words is "thirty billion, five hundred five million, five hundred twenty-five thousand, nine hundred sixty".