30555490680 has 1152 divisors, whose sum is σ = 129493728000. Its totient is φ = 6404935680.

The previous prime is 30555490673. The next prime is 30555490717. The reversal of 30555490680 is 8609455503.

30555490680 is a `hidden beast` number, since 3 + 0 + 5 + 554 + 90 + 6 + 8 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 343320076 + ... + 343320164.

It is an arithmetic number, because the mean of its divisors is an integer number (112407750).

Almost surely, 2^30555490680 is an apocalyptic number.

30555490680 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 30555490680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64746864000).

30555490680 is an abundant number, since it is smaller than the sum of its proper divisors (98938237320).

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

30555490680 is a wasteful number, since it uses less digits than its factorization.

30555490680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 30555490680 in words is "thirty billion, five hundred fifty-five million, four hundred ninety thousand, six hundred eighty".