18300821400 has 192 divisors, whose sum is σ = 63105187200. Its totient is φ = 4874878080.

The previous prime is 18300821369. The next prime is 18300821411. The reversal of 18300821400 is 412800381.

18300821400 is a `hidden beast` number, since 183 + 0 + 0 + 82 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8784759 + ... + 8786841.

It is an arithmetic number, because the mean of its divisors is an integer number (328672850).

Almost surely, 2^18300821400 is an apocalyptic number.

18300821400 is a gapful number since it is divisible by the number (10) 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 18300821400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31552593600).

18300821400 is an abundant number, since it is smaller than the sum of its proper divisors (44804365800).

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

18300821400 is a wasteful number, since it uses less digits than its factorization.

18300821400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 18300821400 in words is "eighteen billion, three hundred million, eight hundred twenty-one thousand, four hundred".