30017785661220 has 192 divisors, whose sum is σ = 97952659531776. Its totient is φ = 6726768491520.

The previous prime is 30017785661197. The next prime is 30017785661243. The reversal of 30017785661220 is 2216658771003.

It is an interprime number because it is at equal distance from previous prime (30017785661197) and next prime (30017785661243).

It is a super-2 number, since 2×30017785661220² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30017785661220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3409744 + ... + 8465336.

It is an arithmetic number, because the mean of its divisors is an integer number (510170101728).

Almost surely, 2^{30017785661220} is an apocalyptic number.

30017785661220 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 30017785661220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48976329765888).

30017785661220 is an abundant number, since it is smaller than the sum of its proper divisors (67934873870556).

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

30017785661220 is a wasteful number, since it uses less digits than its factorization.

30017785661220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055890 (or 5055888 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 30017785661220 in words is "thirty trillion, seventeen billion, seven hundred eighty-five million, six hundred sixty-one thousand, two hundred twenty".