200090480128 has 160 divisors (see below), whose sum is σ = 499670519040. Its totient is φ = 77764853760.

The previous prime is 200090480101. The next prime is 200090480143. The reversal of 200090480128 is 821084090002.

It is a junction number, because it is equal to n+sod(n) for n = 200090480093 and 200090480102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16512600 + ... + 16524712.

It is an arithmetic number, because the mean of its divisors is an integer number (3122940744).

Almost surely, 2^200090480128 is an apocalyptic number.

200090480128 is a gapful number since it is divisible by the number (28) 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 200090480128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249835259520).

200090480128 is an abundant number, since it is smaller than the sum of its proper divisors (299580038912).

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

200090480128 is a wasteful number, since it uses less digits than its factorization.

200090480128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12568 (or 12552 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 200090480128 in words is "two hundred billion, ninety million, four hundred eighty thousand, one hundred twenty-eight".