30616989120 has 1344 divisors, whose sum is σ = 129408814080. Its totient is φ = 6831931392.

The previous prime is 30616989119. The next prime is 30616989127. The reversal of 30616989120 is 2198961603.

It is a happy number.

30616989120 is a `hidden beast` number, since 3 + 0 + 616 + 9 + 8 + 9 + 1 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30616989127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 577679014 + ... + 577679066.

It is an arithmetic number, because the mean of its divisors is an integer number (96286320).

Almost surely, 2^30616989120 is an apocalyptic number.

30616989120 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 30616989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64704407040).

30616989120 is an abundant number, since it is smaller than the sum of its proper divisors (98791824960).

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

30616989120 is a wasteful number, since it uses less digits than its factorization.

30616989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 30616989120 in words is "thirty billion, six hundred sixteen million, nine hundred eighty-nine thousand, one hundred twenty".