30850807680 has 1152 divisors, whose sum is σ = 142577884800. Its totient is φ = 6061547520.

The previous prime is 30850807627. The next prime is 30850807693. The reversal of 30850807680 is 8670805803.

30850807680 = 10850² + 10851² + ... + 11105².

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58987899 + ... + 58988421.

It is an arithmetic number, because the mean of its divisors is an integer number (123765525).

Almost surely, 2^30850807680 is an apocalyptic number.

30850807680 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 30850807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71288942400).

30850807680 is an abundant number, since it is smaller than the sum of its proper divisors (111727077120).

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

30850807680 is a wasteful number, since it uses less digits than its factorization.

30850807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 30850807680 in words is "thirty billion, eight hundred fifty million, eight hundred seven thousand, six hundred eighty".