202400000000016 has 160 divisors (see below), whose sum is σ = 643642162265088. Its totient is φ = 53370767116800.

The previous prime is 202399999999987. The next prime is 202400000000057. The reversal of 202400000000016 is 610000000004202.

It is a junction number, because it is equal to n+sod(n) for n = 202399999999923 and 202400000000004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20583675 + ... + 28783461.

Almost surely, 2^{202400000000016} is an apocalyptic number.

202400000000016 is a gapful number since it is divisible by the number (26) 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 202400000000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321821081132544).

202400000000016 is an abundant number, since it is smaller than the sum of its proper divisors (441242162265072).

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

202400000000016 is a wasteful number, since it uses less digits than its factorization.

202400000000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8205469 (or 8205463 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202400000000016 its reverse (610000000004202), we get a palindrome (812400000004218).

The spelling of 202400000000016 in words is "two hundred two trillion, four hundred billion, sixteen", and thus it is an aban number.