52645324032000 has 4608 divisors, whose sum is σ = 243644925888000. Its totient is φ = 11287019520000.

The previous prime is 52645324031891. The next prime is 52645324032029. The reversal of 52645324032000 is 23042354625.

52645324032000 is a `hidden beast` number, since 5 + 2 + 6 + 4 + 5 + 324 + 0 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 521240831950 + ... + 521240832050.

It is an arithmetic number, because the mean of its divisors is an integer number (52874332875).

Almost surely, 2^{52645324032000} is an apocalyptic number.

52645324032000 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 52645324032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121822462944000).

52645324032000 is an abundant number, since it is smaller than the sum of its proper divisors (190999601856000).

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

52645324032000 is an equidigital number, since it uses as much as digits as its factorization.

52645324032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 52645324032000 its reverse (23042354625), we get a palindrome (52668366386625).

The spelling of 52645324032000 in words is "fifty-two trillion, six hundred forty-five billion, three hundred twenty-four million, thirty-two thousand".