202051988103168 has 784 divisors, whose sum is σ = 716270490118080. Its totient is φ = 55738145046528.

The previous prime is 202051988103083. The next prime is 202051988103179. The reversal of 202051988103168 is 861301889150202.

202051988103168 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 519 + 8 + 8 + 103 + 16 + 8 = 666.

It is a super-2 number, since 2×202051988103168² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1212226171 + ... + 1212392837.

Almost surely, 2^{202051988103168} is an apocalyptic number.

202051988103168 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 202051988103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358135245059040).

202051988103168 is an abundant number, since it is smaller than the sum of its proper divisors (514218502014912).

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

202051988103168 is an frugal number, since it uses more digits than its factorization.

202051988103168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166747 (or 166708 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 202051988103168 in words is "two hundred two trillion, fifty-one billion, nine hundred eighty-eight million, one hundred three thousand, one hundred sixty-eight".