30200089378200 has 768 divisors, whose sum is σ = 108706682327040. Its totient is φ = 6793611264000.

The previous prime is 30200089378177. The next prime is 30200089378253. The reversal of 30200089378200 is 287398000203.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45688485870 + ... + 45688486530.

It is an arithmetic number, because the mean of its divisors is an integer number (141545159280).

Almost surely, 2^{30200089378200} is an apocalyptic number.

30200089378200 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 30200089378200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54353341163520).

30200089378200 is an abundant number, since it is smaller than the sum of its proper divisors (78506592948840).

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

30200089378200 is a wasteful number, since it uses less digits than its factorization.

30200089378200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 30200089378200 in words is "thirty trillion, two hundred billion, eighty-nine million, three hundred seventy-eight thousand, two hundred".