30011930380800 has 1440 divisors, whose sum is σ = 115202338542720. Its totient is φ = 7439214182400.

The previous prime is 30011930380709. The next prime is 30011930380813. The reversal of 30011930380800 is 808303911003.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×30011930380800³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 48641702092 + ... + 48641702708.

It is an arithmetic number, because the mean of its divisors is an integer number (80001623988).

Almost surely, 2^{30011930380800} is an apocalyptic number.

30011930380800 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 30011930380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57601169271360).

30011930380800 is an abundant number, since it is smaller than the sum of its proper divisors (85190408161920).

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

30011930380800 is a wasteful number, since it uses less digits than its factorization.

30011930380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 30011930380800 in words is "thirty trillion, eleven billion, nine hundred thirty million, three hundred eighty thousand, eight hundred".