523648350720 has 1920 divisors, whose sum is σ = 2257055539200. Its totient is φ = 114449448960.

The previous prime is 523648350647. The next prime is 523648350751. The reversal of 523648350720 is 27053846325.

523648350720 is a `hidden beast` number, since 5 + 2 + 3 + 64 + 83 + 507 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×523648350720² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4123215297 + ... + 4123215423.

It is an arithmetic number, because the mean of its divisors is an integer number (1175549760).

Almost surely, 2^523648350720 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 523648350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128527769600).

523648350720 is an abundant number, since it is smaller than the sum of its proper divisors (1733407188480).

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

523648350720 is a wasteful number, since it uses less digits than its factorization.

523648350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 523648350720 in words is "five hundred twenty-three billion, six hundred forty-eight million, three hundred fifty thousand, seven hundred twenty".