30011415985800 has 384 divisors, whose sum is σ = 105007979059200. Its totient is φ = 7876824480000.

The previous prime is 30011415985783. The next prime is 30011415985909. The reversal of 30011415985800 is 858951411003.

30011415985800 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 1 + 4 + 1 + 598 + 58 + 0 + 0 = 666.

30011415985800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224989125 + ... + 225122475.

It is an arithmetic number, because the mean of its divisors is an integer number (273458278800).

Almost surely, 2^{30011415985800} is an apocalyptic number.

30011415985800 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 30011415985800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52503989529600).

30011415985800 is an abundant number, since it is smaller than the sum of its proper divisors (74996563073400).

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

30011415985800 is a wasteful number, since it uses less digits than its factorization.

30011415985800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134034 (or 134019 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 30011415985800 in words is "thirty trillion, eleven billion, four hundred fifteen million, nine hundred eighty-five thousand, eight hundred".