20073028800000 has 2880 divisors, whose sum is σ = 82650552526080. Its totient is φ = 4298342400000.

The previous prime is 20073028799959. The next prime is 20073028800023. The reversal of 20073028800000 is 882037002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 187598399947 + ... + 187598400053.

It is an arithmetic number, because the mean of its divisors is an integer number (28698108516).

Almost surely, 2^{20073028800000} is an apocalyptic number.

20073028800000 is a gapful number since it is divisible by the number (20) 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 20073028800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41325276263040).

20073028800000 is an abundant number, since it is smaller than the sum of its proper divisors (62577523726080).

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

20073028800000 is a wasteful number, since it uses less digits than its factorization.

20073028800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 20073028800000 in words is "twenty trillion, seventy-three billion, twenty-eight million, eight hundred thousand".