30863616000000 has 840 divisors, whose sum is σ = 117591066065088. Its totient is φ = 7053312000000.

The previous prime is 30863615999989. The next prime is 30863616000017. The reversal of 30863616000000 is 61636803.

It is a tau number, because it is divible by the number of its divisors (840).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5375997130 + ... + 5376002870.

Almost surely, 2^{30863616000000} is an apocalyptic number.

30863616000000 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 30863616000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58795533032544).

30863616000000 is an abundant number, since it is smaller than the sum of its proper divisors (86727450065088).

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

30863616000000 is an frugal number, since it uses more digits than its factorization.

30863616000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 30863616000000 its reverse (61636803), we get a palindrome (30863677636803).

The spelling of 30863616000000 in words is "thirty trillion, eight hundred sixty-three billion, six hundred sixteen million", and thus it is an aban number.