52540416000 has 336 divisors, whose sum is σ = 189447376248. Its totient is φ = 14008320000.

The previous prime is 52540415957. The next prime is 52540416011. The reversal of 52540416000 is 61404525.

52540416000 is a `hidden beast` number, since 5 + 2 + 54 + 0 + 4 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25212358656 + 27328057344 = 158784^2 + 165312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9213150 + ... + 9218850.

Almost surely, 2^52540416000 is an apocalyptic number.

52540416000 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 52540416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94723688124).

52540416000 is an abundant number, since it is smaller than the sum of its proper divisors (136906960248).

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

52540416000 is an equidigital number, since it uses as much as digits as its factorization.

52540416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 52540416000 in words is "fifty-two billion, five hundred forty million, four hundred sixteen thousand".