202420565088 has 768 divisors, whose sum is σ = 710664192000. Its totient is φ = 49049763840.

The previous prime is 202420565041. The next prime is 202420565089. The reversal of 202420565088 is 880565024202.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202420565089) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 450825088 + ... + 450825536.

It is an arithmetic number, because the mean of its divisors is an integer number (925344000).

Almost surely, 2^202420565088 is an apocalyptic number.

202420565088 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 202420565088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355332096000).

202420565088 is an abundant number, since it is smaller than the sum of its proper divisors (508243626912).

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

202420565088 is a wasteful number, since it uses less digits than its factorization.

202420565088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 202420565088 in words is "two hundred two billion, four hundred twenty million, five hundred sixty-five thousand, eighty-eight".