202896316431072 has 576 divisors, whose sum is σ = 675346378291200. Its totient is φ = 58768861409280.

The previous prime is 202896316431059. The next prime is 202896316431073. The reversal of 202896316431072 is 270134613698202.

202896316431072 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 9 + 6 + 316 + 4 + 310 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202896316431073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7486106673 + ... + 7486133775.

It is an arithmetic number, because the mean of its divisors is an integer number (1172476351200).

Almost surely, 2^{202896316431072} is an apocalyptic number.

202896316431072 is a gapful number since it is divisible by the number (22) 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 202896316431072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337673189145600).

202896316431072 is an abundant number, since it is smaller than the sum of its proper divisors (472450061860128).

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

202896316431072 is a wasteful number, since it uses less digits than its factorization.

202896316431072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28668 (or 28631 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 202896316431072 in words is "two hundred two trillion, eight hundred ninety-six billion, three hundred sixteen million, four hundred thirty-one thousand, seventy-two".