52072844909400 has 864 divisors, whose sum is σ = 205290173088000. Its totient is φ = 11793890304000.

The previous prime is 52072844909303. The next prime is 52072844909429. The reversal of 52072844909400 is 490944827025.

It is a happy number.

52072844909400 is a `hidden beast` number, since 5 + 2 + 0 + 72 + 84 + 4 + 90 + 9 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5690394825 + ... + 5690403975.

It is an arithmetic number, because the mean of its divisors is an integer number (237604367000).

Almost surely, 2^{52072844909400} is an apocalyptic number.

52072844909400 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 52072844909400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102645086544000).

52072844909400 is an abundant number, since it is smaller than the sum of its proper divisors (153217328178600).

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

52072844909400 is a wasteful number, since it uses less digits than its factorization.

52072844909400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 52072844909400 in words is "fifty-two trillion, seventy-two billion, eight hundred forty-four million, nine hundred nine thousand, four hundred".