30116136960 has 1728 divisors, whose sum is σ = 142737940800. Its totient is φ = 6019743744.

The previous prime is 30116136931. The next prime is 30116136961. The reversal of 30116136960 is 6963161103.

30116136960 is a `hidden beast` number, since 30 + 1 + 1 + 613 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30116136961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1585059831 + ... + 1585059849.

It is an arithmetic number, because the mean of its divisors is an integer number (82602975).

Almost surely, 2^30116136960 is an apocalyptic number.

30116136960 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 30116136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71368970400).

30116136960 is an abundant number, since it is smaller than the sum of its proper divisors (112621803840).

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

30116136960 is a wasteful number, since it uses less digits than its factorization.

30116136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 30116136960 in words is "thirty billion, one hundred sixteen million, one hundred thirty-six thousand, nine hundred sixty".