653221560240 has 320 divisors, whose sum is σ = 2279554099200. Its totient is φ = 171907854336.

The previous prime is 653221560217. The next prime is 653221560263. The reversal of 653221560240 is 42065122356.

653221560240 is a `hidden beast` number, since 6 + 5 + 3 + 2 + 2 + 1 + 5 + 602 + 40 = 666.

653221560240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (653221560217) and next prime (653221560263).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 653221560195 and 653221560204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266946697 + ... + 266949143.

It is an arithmetic number, because the mean of its divisors is an integer number (7123606560).

Almost surely, 2^653221560240 is an apocalyptic number.

653221560240 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 653221560240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139777049600).

653221560240 is an abundant number, since it is smaller than the sum of its proper divisors (1626332538960).

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

653221560240 is a wasteful number, since it uses less digits than its factorization.

653221560240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 653221560240 its reverse (42065122356), we get a palindrome (695286682596).

The spelling of 653221560240 in words is "six hundred fifty-three billion, two hundred twenty-one million, five hundred sixty thousand, two hundred forty".