653315340000 has 480 divisors, whose sum is σ = 2210724641664. Its totient is φ = 168779520000.

The previous prime is 653315339993. The next prime is 653315340047. The reversal of 653315340000 is 43513356.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 653315340000.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 337979034 + ... + 337980966.

Almost surely, 2^653315340000 is an apocalyptic number.

653315340000 is a gapful number since it is divisible by the number (60) 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 653315340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105362320832).

653315340000 is an abundant number, since it is smaller than the sum of its proper divisors (1557409301664).

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

653315340000 is a wasteful number, since it uses less digits than its factorization.

653315340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 653315340000 its reverse (43513356), we get a palindrome (653358853356).

The spelling of 653315340000 in words is "six hundred fifty-three billion, three hundred fifteen million, three hundred forty thousand".