30980005156800 has 3024 divisors, whose sum is σ = 140848998301440. Its totient is φ = 6602383872000.

The previous prime is 30980005156769. The next prime is 30980005156801. The reversal of 30980005156800 is 865150008903.

30980005156800 is a `hidden beast` number, since 3 + 0 + 9 + 80 + 0 + 0 + 5 + 1 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30980005156801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 54255700515 + ... + 54255701085.

Almost surely, 2^{30980005156800} is an apocalyptic number.

30980005156800 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 30980005156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70424499150720).

30980005156800 is an abundant number, since it is smaller than the sum of its proper divisors (109868993144640).

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

30980005156800 is a wasteful number, since it uses less digits than its factorization.

30980005156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 30980005156800 in words is "thirty trillion, nine hundred eighty billion, five million, one hundred fifty-six thousand, eight hundred".