553609520640 has 960 divisors, whose sum is σ = 2297147973120. Its totient is φ = 126287216640.

The previous prime is 553609520621. The next prime is 553609520641. The reversal of 553609520640 is 46025906355.

553609520640 is a `hidden beast` number, since 5 + 5 + 3 + 60 + 9 + 520 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553609520641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116326581 + ... + 116331339.

It is an arithmetic number, because the mean of its divisors is an integer number (2392862472).

Almost surely, 2^553609520640 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 553609520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148573986560).

553609520640 is an abundant number, since it is smaller than the sum of its proper divisors (1743538452480).

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

553609520640 is a wasteful number, since it uses less digits than its factorization.

553609520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 553609520640 in words is "five hundred fifty-three billion, six hundred nine million, five hundred twenty thousand, six hundred forty".