653256553488 has 640 divisors, whose sum is σ = 2222888583168. Its totient is φ = 160392960000.

The previous prime is 653256553451. The next prime is 653256553489. The reversal of 653256553488 is 884355652356.

It is a happy number.

It is a super-2 number, since 2×653256553488² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (653256553489) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1065671070 + ... + 1065671682.

Almost surely, 2^653256553488 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 653256553488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111444291584).

653256553488 is an abundant number, since it is smaller than the sum of its proper divisors (1569632029680).

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

653256553488 is a wasteful number, since it uses less digits than its factorization.

653256553488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 60.

The spelling of 653256553488 in words is "six hundred fifty-three billion, two hundred fifty-six million, five hundred fifty-three thousand, four hundred eighty-eight".