30143773900800 has 2880 divisors, whose sum is σ = 132720165008640. Its totient is φ = 6742112993280.

The previous prime is 30143773900783. The next prime is 30143773900847. The reversal of 30143773900800 is 800937734103.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 237352550337 + ... + 237352550463.

It is an arithmetic number, because the mean of its divisors is an integer number (46083390628).

Almost surely, 2^{30143773900800} is an apocalyptic number.

30143773900800 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 30143773900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66360082504320).

30143773900800 is an abundant number, since it is smaller than the sum of its proper divisors (102576391107840).

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

30143773900800 is an equidigital number, since it uses as much as digits as its factorization.

30143773900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 30143773900800 in words is "thirty trillion, one hundred forty-three billion, seven hundred seventy-three million, nine hundred thousand, eight hundred".