52415014233600 has 720 divisors, whose sum is σ = 191732710321152. Its totient is φ = 13668324065280.

The previous prime is 52415014233599. The next prime is 52415014233607. The reversal of 52415014233600 is 633241051425.

52415014233600 is a `hidden beast` number, since 5 + 2 + 4 + 1 + 5 + 0 + 1 + 42 + 3 + 3 + 600 = 666.

52415014233600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52415014233607) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7704687799 + ... + 7704694601.

Almost surely, 2^{52415014233600} is an apocalyptic number.

52415014233600 is a gapful number since it is divisible by the number (50) 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 52415014233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95866355160576).

52415014233600 is an abundant number, since it is smaller than the sum of its proper divisors (139317696087552).

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

52415014233600 is a wasteful number, since it uses less digits than its factorization.

52415014233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8307 (or 8283 counting only the distinct ones).

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

The spelling of 52415014233600 in words is "fifty-two trillion, four hundred fifteen billion, fourteen million, two hundred thirty-three thousand, six hundred".