52746624000 has 1056 divisors, whose sum is σ = 225300221952. Its totient is φ = 11612160000.

The previous prime is 52746623999. The next prime is 52746624011. The reversal of 52746624000 is 42664725.

52746624000 is a `hidden beast` number, since 5 + 27 + 4 + 6 + 624 + 0 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 249983895 + ... + 249984105.

Almost surely, 2^52746624000 is an apocalyptic number.

52746624000 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 52746624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112650110976).

52746624000 is an abundant number, since it is smaller than the sum of its proper divisors (172553597952).

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

52746624000 is a wasteful number, since it uses less digits than its factorization.

52746624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 52746624000 in words is "fifty-two billion, seven hundred forty-six million, six hundred twenty-four thousand".