52541798400 has 1296 divisors, whose sum is σ = 237046937400. Its totient is φ = 11023810560.

The previous prime is 52541798383. The next prime is 52541798467. The reversal of 52541798400 is 489714525.

52541798400 is a `hidden beast` number, since 525 + 41 + 7 + 9 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 293529511 + ... + 293529689.

Almost surely, 2^52541798400 is an apocalyptic number.

52541798400 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 52541798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118523468700).

52541798400 is an abundant number, since it is smaller than the sum of its proper divisors (184505139000).

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

52541798400 is a wasteful number, since it uses less digits than its factorization.

52541798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 52541798400 in words is "fifty-two billion, five hundred forty-one million, seven hundred ninety-eight thousand, four hundred".