653201320763200 has 504 divisors, whose sum is σ = 1812369308797440. Its totient is φ = 229791578112000.

The previous prime is 653201320763153. The next prime is 653201320763203. The reversal of 653201320763200 is 2367023102356.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653201320763203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102817771224 + ... + 102817777576.

Almost surely, 2^{653201320763200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653201320763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906184654398720).

653201320763200 is an abundant number, since it is smaller than the sum of its proper divisors (1159167988034240).

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

653201320763200 is a wasteful number, since it uses less digits than its factorization.

653201320763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12527 (or 12481 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 40.

Adding to 653201320763200 its reverse (2367023102356), we get a palindrome (655568343865556).

The spelling of 653201320763200 in words is "six hundred fifty-three trillion, two hundred one billion, three hundred twenty million, seven hundred sixty-three thousand, two hundred".