52400413652800 has 84 divisors (see below), whose sum is σ = 129235547307916. Its totient is φ = 20911758336000.

The previous prime is 52400413652753. The next prime is 52400413652819. The reversal of 52400413652800 is 825631400425.

It can be written as a sum of positive squares in 6 ways, for example, as 13627674298624 + 38772739354176 = 3691568^2 + 6226776^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37125051 + ... + 38510650.

Almost surely, 2^{52400413652800} is an apocalyptic number.

52400413652800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52400413652800 is an abundant number, since it is smaller than the sum of its proper divisors (76835133655116).

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

52400413652800 is a wasteful number, since it uses less digits than its factorization.

52400413652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75636156 (or 75636141 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 52400413652800 in words is "fifty-two trillion, four hundred billion, four hundred thirteen million, six hundred fifty-two thousand, eight hundred".