208020793090000 has 400 divisors, whose sum is σ = 554062616008704. Its totient is φ = 75007686400000.

The previous prime is 208020793089973. The next prime is 208020793090001. The reversal of 208020793090000 is 90397020802.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208020793090001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7288475730 + ... + 7288504270.

Almost surely, 2^{208020793090000} is an apocalyptic number.

208020793090000 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 208020793090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277031308004352).

208020793090000 is an abundant number, since it is smaller than the sum of its proper divisors (346041822918704).

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

208020793090000 is a wasteful number, since it uses less digits than its factorization.

208020793090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29136 (or 29115 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 208020793090000 in words is "two hundred eight trillion, twenty billion, seven hundred ninety-three million, ninety thousand".