52210958750496 has 288 divisors, whose sum is σ = 183034584690048. Its totient is φ = 13747601387520.

The previous prime is 52210958750479. The next prime is 52210958750497. The reversal of 52210958750496 is 69405785901225.

52210958750496 is a `hidden beast` number, since 5 + 2 + 2 + 1 + 0 + 9 + 587 + 5 + 0 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (52210958750497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14555931 + ... + 17784741.

It is an arithmetic number, because the mean of its divisors is an integer number (635536752396).

Almost surely, 2^{52210958750496} is an apocalyptic number.

52210958750496 is a gapful number since it is divisible by the number (56) 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 52210958750496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91517292345024).

52210958750496 is an abundant number, since it is smaller than the sum of its proper divisors (130823625939552).

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

52210958750496 is a wasteful number, since it uses less digits than its factorization.

52210958750496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229464 (or 3229453 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 52210958750496 in words is "fifty-two trillion, two hundred ten billion, nine hundred fifty-eight million, seven hundred fifty thousand, four hundred ninety-six".