30853914660 has 192 divisors, whose sum is σ = 97203456000. Its totient is φ = 8124395904.

The previous prime is 30853914647. The next prime is 30853914671. The reversal of 30853914660 is 6641935803.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14698291 + ... + 14700389.

It is an arithmetic number, because the mean of its divisors is an integer number (506268000).

Almost surely, 2^30853914660 is an apocalyptic number.

30853914660 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 30853914660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48601728000).

30853914660 is an abundant number, since it is smaller than the sum of its proper divisors (66349541340).

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

30853914660 is a wasteful number, since it uses less digits than its factorization.

30853914660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 30853914660 in words is "thirty billion, eight hundred fifty-three million, nine hundred fourteen thousand, six hundred sixty".