52800733440 has 1152 divisors, whose sum is σ = 234275758080. Its totient is φ = 10964533248.

The previous prime is 52800733429. The next prime is 52800733457. The reversal of 52800733440 is 4433700825.

It is a happy number.

52800733440 is a `hidden beast` number, since 5 + 280 + 0 + 7 + 334 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 52800733395 and 52800733404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 323930799 + ... + 323930961.

Almost surely, 2^52800733440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52800733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117137879040).

52800733440 is an abundant number, since it is smaller than the sum of its proper divisors (181475024640).

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

52800733440 is a wasteful number, since it uses less digits than its factorization.

52800733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 296 counting only the distinct ones).

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

The spelling of 52800733440 in words is "fifty-two billion, eight hundred million, seven hundred thirty-three thousand, four hundred forty".