52353324653616 has 640 divisors, whose sum is σ = 185746949529600. Its totient is φ = 13781820349440.

The previous prime is 52353324653611. The next prime is 52353324653633. The reversal of 52353324653616 is 61635642335325.

52353324653616 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 33 + 246 + 5 + 361 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (52353324653611) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7064268951 + ... + 7064276361.

It is an arithmetic number, because the mean of its divisors is an integer number (290229608640).

Almost surely, 2^{52353324653616} is an apocalyptic number.

52353324653616 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 52353324653616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92873474764800).

52353324653616 is an abundant number, since it is smaller than the sum of its proper divisors (133393624875984).

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

52353324653616 is a wasteful number, since it uses less digits than its factorization.

52353324653616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10814 (or 10802 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 54.

The spelling of 52353324653616 in words is "fifty-two trillion, three hundred fifty-three billion, three hundred twenty-four million, six hundred fifty-three thousand, six hundred sixteen".