52605407232000 has 1280 divisors, whose sum is σ = 224171197810560. Its totient is φ = 12023562240000.

The previous prime is 52605407231989. The next prime is 52605407232089. The reversal of 52605407232000 is 23270450625.

52605407232000 is a `hidden beast` number, since 5 + 2 + 605 + 4 + 0 + 7 + 23 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2322420675 + ... + 2322443325.

Almost surely, 2^{52605407232000} is an apocalyptic number.

52605407232000 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 52605407232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112085598905280).

52605407232000 is an abundant number, since it is smaller than the sum of its proper divisors (171565790578560).

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

52605407232000 is an frugal number, since it uses more digits than its factorization.

52605407232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22715 (or 22668 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 52605407232000 its reverse (23270450625), we get a palindrome (52628677682625).

The spelling of 52605407232000 in words is "fifty-two trillion, six hundred five billion, four hundred seven million, two hundred thirty-two thousand".