202552196640 has 192 divisors, whose sum is σ = 649101600000. Its totient is φ = 53082337280.

The previous prime is 202552196633. The next prime is 202552196657. The reversal of 202552196640 is 46691255202.

It is a junction number, because it is equal to n+sod(n) for n = 202552196592 and 202552196601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10793986 + ... + 10812734.

It is an arithmetic number, because the mean of its divisors is an integer number (3380737500).

Almost surely, 2^202552196640 is an apocalyptic number.

202552196640 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 202552196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324550800000).

202552196640 is an abundant number, since it is smaller than the sum of its proper divisors (446549403360).

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

202552196640 is a wasteful number, since it uses less digits than its factorization.

202552196640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19155 (or 19147 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 202552196640 in words is "two hundred two billion, five hundred fifty-two million, one hundred ninety-six thousand, six hundred forty".