52783159910400 has 1008 divisors, whose sum is σ = 191478684758400. Its totient is φ = 13897433088000.

The previous prime is 52783159910387. The next prime is 52783159910401. The reversal of 52783159910400 is 401995138725.

It is a happy number.

52783159910400 is a `hidden beast` number, since 5 + 2 + 7 + 8 + 3 + 1 + 599 + 1 + 0 + 40 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (52783159910401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55386316324 + ... + 55386317276.

Almost surely, 2^{52783159910400} is an apocalyptic number.

52783159910400 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 52783159910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95739342379200).

52783159910400 is an abundant number, since it is smaller than the sum of its proper divisors (138695524848000).

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

52783159910400 is a wasteful number, since it uses less digits than its factorization.

52783159910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 52783159910400 in words is "fifty-two trillion, seven hundred eighty-three billion, one hundred fifty-nine million, nine hundred ten thousand, four hundred".