30006790162560 has 1536 divisors, whose sum is σ = 113678510400000. Its totient is φ = 7265475624960.

The previous prime is 30006790162507. The next prime is 30006790162561. The reversal of 30006790162560 is 6526109760003.

30006790162560 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 6 + 79 + 0 + 16 + 2 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (30006790162561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85979341266 + ... + 85979341614.

It is an arithmetic number, because the mean of its divisors is an integer number (74009446875).

Almost surely, 2^{30006790162560} is an apocalyptic number.

30006790162560 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 30006790162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56839255200000).

30006790162560 is an abundant number, since it is smaller than the sum of its proper divisors (83671720237440).

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

30006790162560 is a wasteful number, since it uses less digits than its factorization.

30006790162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 30006790162560 in words is "thirty trillion, six billion, seven hundred ninety million, one hundred sixty-two thousand, five hundred sixty".