30511490400000 has 864 divisors, whose sum is σ = 113162968981440. Its totient is φ = 8108605440000.

The previous prime is 30511490399987. The next prime is 30511490400007. The reversal of 30511490400000 is 409411503.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30511490400007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6760797744 + ... + 6760802256.

Almost surely, 2^{30511490400000} is an apocalyptic number.

30511490400000 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 30511490400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56581484490720).

30511490400000 is an abundant number, since it is smaller than the sum of its proper divisors (82651478581440).

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

30511490400000 is an frugal number, since it uses more digits than its factorization.

30511490400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 30511490400000 its reverse (409411503), we get a palindrome (30511899811503).

The spelling of 30511490400000 in words is "thirty trillion, five hundred eleven billion, four hundred ninety million, four hundred thousand".