52393913510400 has 3840 divisors, whose sum is σ = 246049851801600. Its totient is φ = 10738792857600.

The previous prime is 52393913510387. The next prime is 52393913510447. The reversal of 52393913510400 is 401531939325.

52393913510400 is a `hidden beast` number, since 5 + 2 + 3 + 9 + 3 + 91 + 3 + 510 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 234950284689 + ... + 234950284911.

It is an arithmetic number, because the mean of its divisors is an integer number (64075482240).

Almost surely, 2^{52393913510400} is an apocalyptic number.

52393913510400 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 52393913510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123024925900800).

52393913510400 is an abundant number, since it is smaller than the sum of its proper divisors (193655938291200).

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

52393913510400 is a wasteful number, since it uses less digits than its factorization.

52393913510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 52393913510400 in words is "fifty-two trillion, three hundred ninety-three billion, nine hundred thirteen million, five hundred ten thousand, four hundred".