52793945690400 has 216 divisors, whose sum is σ = 187872586361460. Its totient is φ = 13949225809920.

The previous prime is 52793945690399. The next prime is 52793945690429. The reversal of 52793945690400 is 409654939725.

52793945690400 is a `hidden beast` number, since 5 + 2 + 7 + 9 + 3 + 94 + 56 + 90 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11692870826256 + 41101074864144 = 3419484^2 + 6411012^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32850487 + ... + 34420086.

Almost surely, 2^{52793945690400} is an apocalyptic number.

52793945690400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52793945690400 is an abundant number, since it is smaller than the sum of its proper divisors (135078640671060).

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

52793945690400 is a wasteful number, since it uses less digits than its factorization.

52793945690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67270708 (or 67270692 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 52793945690400 in words is "fifty-two trillion, seven hundred ninety-three billion, nine hundred forty-five million, six hundred ninety thousand, four hundred".