52803734400 has 288 divisors, whose sum is σ = 189124595400. Its totient is φ = 14028042240.

The previous prime is 52803734387. The next prime is 52803734411. The reversal of 52803734400 is 443730825.

It is a happy number.

52803734400 is a `hidden beast` number, since 5 + 280 + 37 + 344 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 7974291 + ... + 7980909.

Almost surely, 2^52803734400 is an apocalyptic number.

52803734400 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 52803734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94562297700).

52803734400 is an abundant number, since it is smaller than the sum of its proper divisors (136320861000).

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

52803734400 is a wasteful number, since it uses less digits than its factorization.

52803734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6926 (or 6906 counting only the distinct ones).

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

The spelling of 52803734400 in words is "fifty-two billion, eight hundred three million, seven hundred thirty-four thousand, four hundred".