30828651840000 has 4800 divisors, whose sum is σ = 143399157580800. Its totient is φ = 6584094720000.

The previous prime is 30828651839989. The next prime is 30828651840071. The reversal of 30828651840000 is 4815682803.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 994472639985 + ... + 994472640015.

It is an arithmetic number, because the mean of its divisors is an integer number (29874824496).

Almost surely, 2^{30828651840000} is an apocalyptic number.

30828651840000 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 30828651840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71699578790400).

30828651840000 is an abundant number, since it is smaller than the sum of its proper divisors (112570505740800).

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

30828651840000 is an frugal number, since it uses more digits than its factorization.

30828651840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 30828651840000 in words is "thirty trillion, eight hundred twenty-eight billion, six hundred fifty-one million, eight hundred forty thousand".