5653120000 has 330 divisors, whose sum is σ = 15734474294. Its totient is φ = 2027520000.

The previous prime is 5653119991. The next prime is 5653120019. The reversal of 5653120000 is 213565.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 2030043136 + 3623076864 = 45056^2 + 60192^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 77439964 + ... + 77440036.

Almost surely, 2^5653120000 is an apocalyptic number.

5653120000 is a gapful number since it is divisible by the number (50) 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 5653120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7867237147).

5653120000 is an abundant number, since it is smaller than the sum of its proper divisors (10081354294).

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

5653120000 is an equidigital number, since it uses as much as digits as its factorization.

5653120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5653120000 is about 75187.2329587943. The cubic root of 5653120000 is about 1781.4052783481.

Adding to 5653120000 its reverse (213565), we get a palindrome (5653333565).

The spelling of 5653120000 in words is "five billion, six hundred fifty-three million, one hundred twenty thousand".