30061170480 has 320 divisors, whose sum is σ = 104753295360. Its totient is φ = 7068057600.

The previous prime is 30061170463. The next prime is 30061170493. The reversal of 30061170480 is 8407116003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 20889601 + ... + 20891039.

It is an arithmetic number, because the mean of its divisors is an integer number (327354048).

Almost surely, 2^30061170480 is an apocalyptic number.

30061170480 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 30061170480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52376647680).

30061170480 is an abundant number, since it is smaller than the sum of its proper divisors (74692124880).

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

30061170480 is a wasteful number, since it uses less digits than its factorization.

30061170480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 30061170480 its reverse (8407116003), we get a palindrome (38468286483).

It can be divided in two parts, 300611 and 70480, that added together give a triangular number (371091 = T₈₆₁).

The spelling of 30061170480 in words is "thirty billion, sixty-one million, one hundred seventy thousand, four hundred eighty".