30623034506010 has 256 divisors, whose sum is σ = 78234961093632. Its totient is φ = 7655266713600.

The previous prime is 30623034506003. The next prime is 30623034506023. The reversal of 30623034506010 is 1060543032603.

It is a super-2 number, since 2×30623034506010² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13425266070 + ... + 13425268350.

It is an arithmetic number, because the mean of its divisors is an integer number (305605316772).

Almost surely, 2^{30623034506010} is an apocalyptic number.

30623034506010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30623034506010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39117480546816).

30623034506010 is an abundant number, since it is smaller than the sum of its proper divisors (47611926587622).

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

30623034506010 is a wasteful number, since it uses less digits than its factorization.

30623034506010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961.

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 30623034506010 its reverse (1060543032603), we get a palindrome (31683577538613).

The spelling of 30623034506010 in words is "thirty trillion, six hundred twenty-three billion, thirty-four million, five hundred six thousand, ten".